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Finding the Fourth Proportional to 578.10, 867.05 and 188.13

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Solution

The fourth proportional to 578.10, 867.05 and 188.13 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 867.05 = 188.13 : x
  2. Step 2: Convert to fraction form
    578.10/867.05 = 188.13/x
  3. Step 3: Cross multiply
    578.10x = 867.05 × 188.13
  4. Step 4: Simplify right side
    578.10x = 163,122.19
  5. Step 5: Solve for x
    x = 163,122.19/578.10
  6. Step 6: Final answer
    x = 282.17

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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.