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Finding the Fourth Proportional to 99.42, 147.85 and 98.36

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Solution

The fourth proportional to 99.42, 147.85 and 98.36 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 147.85 = 98.36 : x
  2. Step 2: Convert to fraction form
    99.42/147.85 = 98.36/x
  3. Step 3: Cross multiply
    99.42x = 147.85 × 98.36
  4. Step 4: Simplify right side
    99.42x = 14,542.53
  5. Step 5: Solve for x
    x = 14,542.53/99.42
  6. Step 6: Final answer
    x = 146.27

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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.