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Finding the Fourth Proportional to 153.54, 229.35 and 147.87

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Solution

The fourth proportional to 153.54, 229.35 and 147.87 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 229.35 = 147.87 : x
  2. Step 2: Convert to fraction form
    153.54/229.35 = 147.87/x
  3. Step 3: Cross multiply
    153.54x = 229.35 × 147.87
  4. Step 4: Simplify right side
    153.54x = 33,913.98
  5. Step 5: Solve for x
    x = 33,913.98/153.54
  6. Step 6: Final answer
    x = 220.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.