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Finding the Fourth Proportional to 99.48, 148.47 and 83.28

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Solution

The fourth proportional to 99.48, 148.47 and 83.28 is: 124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 148.47 = 83.28 : x
  2. Step 2: Convert to fraction form
    99.48/148.47 = 83.28/x
  3. Step 3: Cross multiply
    99.48x = 148.47 × 83.28
  4. Step 4: Simplify right side
    99.48x = 12,364.58
  5. Step 5: Solve for x
    x = 12,364.58/99.48
  6. Step 6: Final answer
    x = 124.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.