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Finding the Fourth Proportional to 438.26, 656.63 and 314.22

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Solution

The fourth proportional to 438.26, 656.63 and 314.22 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 656.63 = 314.22 : x
  2. Step 2: Convert to fraction form
    438.26/656.63 = 314.22/x
  3. Step 3: Cross multiply
    438.26x = 656.63 × 314.22
  4. Step 4: Simplify right side
    438.26x = 206,324.71
  5. Step 5: Solve for x
    x = 206,324.71/438.26
  6. Step 6: Final answer
    x = 470.78

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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.