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Finding the Fourth Proportional to 153.11, 229.71 and 99.29

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Solution

The fourth proportional to 153.11, 229.71 and 99.29 is: 148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.11 : 229.71 = 99.29 : x
  2. Step 2: Convert to fraction form
    153.11/229.71 = 99.29/x
  3. Step 3: Cross multiply
    153.11x = 229.71 × 99.29
  4. Step 4: Simplify right side
    153.11x = 22,807.91
  5. Step 5: Solve for x
    x = 22,807.91/153.11
  6. Step 6: Final answer
    x = 148.96

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