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Finding the Fourth Proportional to 99.66, 148.43 and 94.40

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Solution

The fourth proportional to 99.66, 148.43 and 94.40 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.66 : 148.43 = 94.40 : x
  2. Step 2: Convert to fraction form
    99.66/148.43 = 94.40/x
  3. Step 3: Cross multiply
    99.66x = 148.43 × 94.40
  4. Step 4: Simplify right side
    99.66x = 14,010.58
  5. Step 5: Solve for x
    x = 14,010.58/99.66
  6. Step 6: Final answer
    x = 140.58

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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.