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Finding the Fourth Proportional to 152.28, 229.59 and 141.84

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Solution

The fourth proportional to 152.28, 229.59 and 141.84 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 229.59 = 141.84 : x
  2. Step 2: Convert to fraction form
    152.28/229.59 = 141.84/x
  3. Step 3: Cross multiply
    152.28x = 229.59 × 141.84
  4. Step 4: Simplify right side
    152.28x = 32,565.05
  5. Step 5: Solve for x
    x = 32,565.05/152.28
  6. Step 6: Final answer
    x = 213.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.