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Finding the Fourth Proportional to 308.62, 426.72 and 288.10

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Solution

The fourth proportional to 308.62, 426.72 and 288.10 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 426.72 = 288.10 : x
  2. Step 2: Convert to fraction form
    308.62/426.72 = 288.10/x
  3. Step 3: Cross multiply
    308.62x = 426.72 × 288.10
  4. Step 4: Simplify right side
    308.62x = 122,938.03
  5. Step 5: Solve for x
    x = 122,938.03/308.62
  6. Step 6: Final answer
    x = 398.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.