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Finding the Fourth Proportional to 185.49, 278.13 and 62.05

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Solution

The fourth proportional to 185.49, 278.13 and 62.05 is: 93.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 278.13 = 62.05 : x
  2. Step 2: Convert to fraction form
    185.49/278.13 = 62.05/x
  3. Step 3: Cross multiply
    185.49x = 278.13 × 62.05
  4. Step 4: Simplify right side
    185.49x = 17,257.97
  5. Step 5: Solve for x
    x = 17,257.97/185.49
  6. Step 6: Final answer
    x = 93.04

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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.