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Finding the Fourth Proportional to 214.68, 296.12 and 135.85

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Solution

The fourth proportional to 214.68, 296.12 and 135.85 is: 187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 296.12 = 135.85 : x
  2. Step 2: Convert to fraction form
    214.68/296.12 = 135.85/x
  3. Step 3: Cross multiply
    214.68x = 296.12 × 135.85
  4. Step 4: Simplify right side
    214.68x = 40,227.90
  5. Step 5: Solve for x
    x = 40,227.90/214.68
  6. Step 6: Final answer
    x = 187.39

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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.