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Finding the Fourth Proportional to 154.29, 229.81 and 147.27

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Solution

The fourth proportional to 154.29, 229.81 and 147.27 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.29 : 229.81 = 147.27 : x
  2. Step 2: Convert to fraction form
    154.29/229.81 = 147.27/x
  3. Step 3: Cross multiply
    154.29x = 229.81 × 147.27
  4. Step 4: Simplify right side
    154.29x = 33,844.12
  5. Step 5: Solve for x
    x = 33,844.12/154.29
  6. Step 6: Final answer
    x = 219.35

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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.