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Finding the Fourth Proportional to 43.46, 64.84 and 36.71

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Solution

The fourth proportional to 43.46, 64.84 and 36.71 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.46 : 64.84 = 36.71 : x
  2. Step 2: Convert to fraction form
    43.46/64.84 = 36.71/x
  3. Step 3: Cross multiply
    43.46x = 64.84 × 36.71
  4. Step 4: Simplify right side
    43.46x = 2,380.28
  5. Step 5: Solve for x
    x = 2,380.28/43.46
  6. Step 6: Final answer
    x = 54.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.