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Finding the Fourth Proportional to 214.72, 296.42 and 136.15

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Solution

The fourth proportional to 214.72, 296.42 and 136.15 is: 187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.42 = 136.15 : x
  2. Step 2: Convert to fraction form
    214.72/296.42 = 136.15/x
  3. Step 3: Cross multiply
    214.72x = 296.42 × 136.15
  4. Step 4: Simplify right side
    214.72x = 40,356.16
  5. Step 5: Solve for x
    x = 40,356.16/214.72
  6. Step 6: Final answer
    x = 187.95

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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.