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Finding the Fourth Proportional to 470.78, 706.25 and 146.14

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Solution

The fourth proportional to 470.78, 706.25 and 146.14 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 706.25 = 146.14 : x
  2. Step 2: Convert to fraction form
    470.78/706.25 = 146.14/x
  3. Step 3: Cross multiply
    470.78x = 706.25 × 146.14
  4. Step 4: Simplify right side
    470.78x = 103,209.97
  5. Step 5: Solve for x
    x = 103,209.97/470.78
  6. Step 6: Final answer
    x = 219.23

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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.