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Finding the Fourth Proportional to 47.80, 71.57 and 43.42

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Solution

The fourth proportional to 47.80, 71.57 and 43.42 is: 65.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.80 : 71.57 = 43.42 : x
  2. Step 2: Convert to fraction form
    47.80/71.57 = 43.42/x
  3. Step 3: Cross multiply
    47.80x = 71.57 × 43.42
  4. Step 4: Simplify right side
    47.80x = 3,107.57
  5. Step 5: Solve for x
    x = 3,107.57/47.80
  6. Step 6: Final answer
    x = 65.01

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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.