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Finding the Fourth Proportional to 99.10, 148.56 and 55.78

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Solution

The fourth proportional to 99.10, 148.56 and 55.78 is: 83.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.10 : 148.56 = 55.78 : x
  2. Step 2: Convert to fraction form
    99.10/148.56 = 55.78/x
  3. Step 3: Cross multiply
    99.10x = 148.56 × 55.78
  4. Step 4: Simplify right side
    99.10x = 8,286.68
  5. Step 5: Solve for x
    x = 8,286.68/99.10
  6. Step 6: Final answer
    x = 83.62

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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.