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Finding the Fourth Proportional to 214.38, 296.02 and 140.84

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Solution

The fourth proportional to 214.38, 296.02 and 140.84 is: 194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 296.02 = 140.84 : x
  2. Step 2: Convert to fraction form
    214.38/296.02 = 140.84/x
  3. Step 3: Cross multiply
    214.38x = 296.02 × 140.84
  4. Step 4: Simplify right side
    214.38x = 41,691.26
  5. Step 5: Solve for x
    x = 41,691.26/214.38
  6. Step 6: Final answer
    x = 194.47

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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.