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Finding the Fourth Proportional to 438.74, 656.75 and 308.13

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Solution

The fourth proportional to 438.74, 656.75 and 308.13 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.74 : 656.75 = 308.13 : x
  2. Step 2: Convert to fraction form
    438.74/656.75 = 308.13/x
  3. Step 3: Cross multiply
    438.74x = 656.75 × 308.13
  4. Step 4: Simplify right side
    438.74x = 202,364.38
  5. Step 5: Solve for x
    x = 202,364.38/438.74
  6. Step 6: Final answer
    x = 461.24

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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.