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Finding the Fourth Proportional to 438.71, 656.96 and 308.84

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Solution

The fourth proportional to 438.71, 656.96 and 308.84 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.71 : 656.96 = 308.84 : x
  2. Step 2: Convert to fraction form
    438.71/656.96 = 308.84/x
  3. Step 3: Cross multiply
    438.71x = 656.96 × 308.84
  4. Step 4: Simplify right side
    438.71x = 202,890.70
  5. Step 5: Solve for x
    x = 202,890.70/438.71
  6. Step 6: Final answer
    x = 462.48

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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.