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Finding the Fourth Proportional to 152.80, 229.29 and 71.71

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Solution

The fourth proportional to 152.80, 229.29 and 71.71 is: 107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 229.29 = 71.71 : x
  2. Step 2: Convert to fraction form
    152.80/229.29 = 71.71/x
  3. Step 3: Cross multiply
    152.80x = 229.29 × 71.71
  4. Step 4: Simplify right side
    152.80x = 16,441.24
  5. Step 5: Solve for x
    x = 16,441.24/152.80
  6. Step 6: Final answer
    x = 107.60

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Why These Related Problems?

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