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Finding the Fourth Proportional to 40.24, 55.12 and 39.72

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Solution

The fourth proportional to 40.24, 55.12 and 39.72 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 55.12 = 39.72 : x
  2. Step 2: Convert to fraction form
    40.24/55.12 = 39.72/x
  3. Step 3: Cross multiply
    40.24x = 55.12 × 39.72
  4. Step 4: Simplify right side
    40.24x = 2,189.37
  5. Step 5: Solve for x
    x = 2,189.37/40.24
  6. Step 6: Final answer
    x = 54.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.