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Finding the Fourth Proportional to 99.28, 148.78 and 51.09

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Solution

The fourth proportional to 99.28, 148.78 and 51.09 is: 76.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.28 : 148.78 = 51.09 : x
  2. Step 2: Convert to fraction form
    99.28/148.78 = 51.09/x
  3. Step 3: Cross multiply
    99.28x = 148.78 × 51.09
  4. Step 4: Simplify right side
    99.28x = 7,601.17
  5. Step 5: Solve for x
    x = 7,601.17/99.28
  6. Step 6: Final answer
    x = 76.56

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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.