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Finding the Fourth Proportional to 153.18, 229.69 and 99.42

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Solution

The fourth proportional to 153.18, 229.69 and 99.42 is: 149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.18 : 229.69 = 99.42 : x
  2. Step 2: Convert to fraction form
    153.18/229.69 = 99.42/x
  3. Step 3: Cross multiply
    153.18x = 229.69 × 99.42
  4. Step 4: Simplify right side
    153.18x = 22,835.78
  5. Step 5: Solve for x
    x = 22,835.78/153.18
  6. Step 6: Final answer
    x = 149.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.