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Finding the Fourth Proportional to 578.06, 867.03 and 145.22

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Solution

The fourth proportional to 578.06, 867.03 and 145.22 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 867.03 = 145.22 : x
  2. Step 2: Convert to fraction form
    578.06/867.03 = 145.22/x
  3. Step 3: Cross multiply
    578.06x = 867.03 × 145.22
  4. Step 4: Simplify right side
    578.06x = 125,909.01
  5. Step 5: Solve for x
    x = 125,909.01/578.06
  6. Step 6: Final answer
    x = 217.81

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Double scale
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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.