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Finding the Fourth Proportional to 80.30, 110.81 and 47.55

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Solution

The fourth proportional to 80.30, 110.81 and 47.55 is: 65.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.30 : 110.81 = 47.55 : x
  2. Step 2: Convert to fraction form
    80.30/110.81 = 47.55/x
  3. Step 3: Cross multiply
    80.30x = 110.81 × 47.55
  4. Step 4: Simplify right side
    80.30x = 5,269.02
  5. Step 5: Solve for x
    x = 5,269.02/80.30
  6. Step 6: Final answer
    x = 65.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.