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Finding the Fourth Proportional to 47.78, 71.24 and 46.29

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Solution

The fourth proportional to 47.78, 71.24 and 46.29 is: 69.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.78 : 71.24 = 46.29 : x
  2. Step 2: Convert to fraction form
    47.78/71.24 = 46.29/x
  3. Step 3: Cross multiply
    47.78x = 71.24 × 46.29
  4. Step 4: Simplify right side
    47.78x = 3,297.70
  5. Step 5: Solve for x
    x = 3,297.70/47.78
  6. Step 6: Final answer
    x = 69.02

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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.