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Finding the Fourth Proportional to 99.45, 148.31 and 84.84

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Solution

The fourth proportional to 99.45, 148.31 and 84.84 is: 126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.45 : 148.31 = 84.84 : x
  2. Step 2: Convert to fraction form
    99.45/148.31 = 84.84/x
  3. Step 3: Cross multiply
    99.45x = 148.31 × 84.84
  4. Step 4: Simplify right side
    99.45x = 12,582.20
  5. Step 5: Solve for x
    x = 12,582.20/99.45
  6. Step 6: Final answer
    x = 126.52

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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.