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Finding the Fourth Proportional to 43.64, 65.38 and 37.61

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Solution

The fourth proportional to 43.64, 65.38 and 37.61 is: 56.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.64 : 65.38 = 37.61 : x
  2. Step 2: Convert to fraction form
    43.64/65.38 = 37.61/x
  3. Step 3: Cross multiply
    43.64x = 65.38 × 37.61
  4. Step 4: Simplify right side
    43.64x = 2,458.94
  5. Step 5: Solve for x
    x = 2,458.94/43.64
  6. Step 6: Final answer
    x = 56.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.