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Finding the Fourth Proportional to 99.70, 148.65 and 97.88

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Solution

The fourth proportional to 99.70, 148.65 and 97.88 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 148.65 = 97.88 : x
  2. Step 2: Convert to fraction form
    99.70/148.65 = 97.88/x
  3. Step 3: Cross multiply
    99.70x = 148.65 × 97.88
  4. Step 4: Simplify right side
    99.70x = 14,549.30
  5. Step 5: Solve for x
    x = 14,549.30/99.70
  6. Step 6: Final answer
    x = 145.93

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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.