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Finding the Fourth Proportional to 40, 55.02 and 36.40

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Solution

The fourth proportional to 40, 55.02 and 36.40 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 55.02 = 36.40 : x
  2. Step 2: Convert to fraction form
    40/55.02 = 36.40/x
  3. Step 3: Cross multiply
    40x = 55.02 × 36.40
  4. Step 4: Simplify right side
    40x = 2,002.73
  5. Step 5: Solve for x
    x = 2,002.73/40
  6. Step 6: Final answer
    x = 50.07

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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.