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Finding the Fourth Proportional to 578.14, 867.23 and 188.14

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Solution

The fourth proportional to 578.14, 867.23 and 188.14 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 867.23 = 188.14 : x
  2. Step 2: Convert to fraction form
    578.14/867.23 = 188.14/x
  3. Step 3: Cross multiply
    578.14x = 867.23 × 188.14
  4. Step 4: Simplify right side
    578.14x = 163,158.95
  5. Step 5: Solve for x
    x = 163,158.95/578.14
  6. Step 6: Final answer
    x = 282.21

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.