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Finding the Fourth Proportional to 47.43, 64.96 and 44.66

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Solution

The fourth proportional to 47.43, 64.96 and 44.66 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.43 : 64.96 = 44.66 : x
  2. Step 2: Convert to fraction form
    47.43/64.96 = 44.66/x
  3. Step 3: Cross multiply
    47.43x = 64.96 × 44.66
  4. Step 4: Simplify right side
    47.43x = 2,901.42
  5. Step 5: Solve for x
    x = 2,901.42/47.43
  6. Step 6: Final answer
    x = 61.17

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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.