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Finding the Fourth Proportional to 308.52, 429.17 and 302.58

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Solution

The fourth proportional to 308.52, 429.17 and 302.58 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.52 : 429.17 = 302.58 : x
  2. Step 2: Convert to fraction form
    308.52/429.17 = 302.58/x
  3. Step 3: Cross multiply
    308.52x = 429.17 × 302.58
  4. Step 4: Simplify right side
    308.52x = 129,856.75
  5. Step 5: Solve for x
    x = 129,856.75/308.52
  6. Step 6: Final answer
    x = 420.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.