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Finding the Fourth Proportional to 47.68, 71.11 and 46.20

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Solution

The fourth proportional to 47.68, 71.11 and 46.20 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.68 : 71.11 = 46.20 : x
  2. Step 2: Convert to fraction form
    47.68/71.11 = 46.20/x
  3. Step 3: Cross multiply
    47.68x = 71.11 × 46.20
  4. Step 4: Simplify right side
    47.68x = 3,285.28
  5. Step 5: Solve for x
    x = 3,285.28/47.68
  6. Step 6: Final answer
    x = 68.90

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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.