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Finding the Fourth Proportional to 47.12, 64.97 and 40.23

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Solution

The fourth proportional to 47.12, 64.97 and 40.23 is: 55.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.12 : 64.97 = 40.23 : x
  2. Step 2: Convert to fraction form
    47.12/64.97 = 40.23/x
  3. Step 3: Cross multiply
    47.12x = 64.97 × 40.23
  4. Step 4: Simplify right side
    47.12x = 2,613.54
  5. Step 5: Solve for x
    x = 2,613.54/47.12
  6. Step 6: Final answer
    x = 55.47

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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.