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Finding the Fourth Proportional to 296.14, 443.66 and 187.71

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Solution

The fourth proportional to 296.14, 443.66 and 187.71 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 443.66 = 187.71 : x
  2. Step 2: Convert to fraction form
    296.14/443.66 = 187.71/x
  3. Step 3: Cross multiply
    296.14x = 443.66 × 187.71
  4. Step 4: Simplify right side
    296.14x = 83,279.42
  5. Step 5: Solve for x
    x = 83,279.42/296.14
  6. Step 6: Final answer
    x = 281.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.