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Finding the Fourth Proportional to 47.27, 64.88 and 43.16

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Solution

The fourth proportional to 47.27, 64.88 and 43.16 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.27 : 64.88 = 43.16 : x
  2. Step 2: Convert to fraction form
    47.27/64.88 = 43.16/x
  3. Step 3: Cross multiply
    47.27x = 64.88 × 43.16
  4. Step 4: Simplify right side
    47.27x = 2,799.68
  5. Step 5: Solve for x
    x = 2,799.68/47.27
  6. Step 6: Final answer
    x = 59.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.