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Finding the Fourth Proportional to 438.62, 656.91 and 308.75

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Solution

The fourth proportional to 438.62, 656.91 and 308.75 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.62 : 656.91 = 308.75 : x
  2. Step 2: Convert to fraction form
    438.62/656.91 = 308.75/x
  3. Step 3: Cross multiply
    438.62x = 656.91 × 308.75
  4. Step 4: Simplify right side
    438.62x = 202,817.68
  5. Step 5: Solve for x
    x = 202,817.68/438.62
  6. Step 6: Final answer
    x = 462.40

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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.