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Finding the Fourth Proportional to 40.38, 55.69 and 26.57

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Solution

The fourth proportional to 40.38, 55.69 and 26.57 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.38 : 55.69 = 26.57 : x
  2. Step 2: Convert to fraction form
    40.38/55.69 = 26.57/x
  3. Step 3: Cross multiply
    40.38x = 55.69 × 26.57
  4. Step 4: Simplify right side
    40.38x = 1,479.68
  5. Step 5: Solve for x
    x = 1,479.68/40.38
  6. Step 6: Final answer
    x = 36.64

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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.