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Finding the Fourth Proportional to 47.66, 66.08 and 45.23

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Solution

The fourth proportional to 47.66, 66.08 and 45.23 is: 62.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.66 : 66.08 = 45.23 : x
  2. Step 2: Convert to fraction form
    47.66/66.08 = 45.23/x
  3. Step 3: Cross multiply
    47.66x = 66.08 × 45.23
  4. Step 4: Simplify right side
    47.66x = 2,988.80
  5. Step 5: Solve for x
    x = 2,988.80/47.66
  6. Step 6: Final answer
    x = 62.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.