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Finding the Fourth Proportional to 40.32, 55.88 and 37.98

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Solution

The fourth proportional to 40.32, 55.88 and 37.98 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.32 : 55.88 = 37.98 : x
  2. Step 2: Convert to fraction form
    40.32/55.88 = 37.98/x
  3. Step 3: Cross multiply
    40.32x = 55.88 × 37.98
  4. Step 4: Simplify right side
    40.32x = 2,122.32
  5. Step 5: Solve for x
    x = 2,122.32/40.32
  6. Step 6: Final answer
    x = 52.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.