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Finding the Fourth Proportional to 154.28, 230.13 and 144.71

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Solution

The fourth proportional to 154.28, 230.13 and 144.71 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.28 : 230.13 = 144.71 : x
  2. Step 2: Convert to fraction form
    154.28/230.13 = 144.71/x
  3. Step 3: Cross multiply
    154.28x = 230.13 × 144.71
  4. Step 4: Simplify right side
    154.28x = 33,300.96
  5. Step 5: Solve for x
    x = 33,300.96/154.28
  6. Step 6: Final answer
    x = 215.85

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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.