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Finding the Fourth Proportional to 47.80, 71.33 and 43

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Solution

The fourth proportional to 47.80, 71.33 and 43 is: 64.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.80 : 71.33 = 43 : x
  2. Step 2: Convert to fraction form
    47.80/71.33 = 43/x
  3. Step 3: Cross multiply
    47.80x = 71.33 × 43
  4. Step 4: Simplify right side
    47.80x = 3,067.19
  5. Step 5: Solve for x
    x = 3,067.19/47.80
  6. Step 6: Final answer
    x = 64.17

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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.