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Finding the Fourth Proportional to 40.48, 55.88 and 28.19

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Solution

The fourth proportional to 40.48, 55.88 and 28.19 is: 38.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.48 : 55.88 = 28.19 : x
  2. Step 2: Convert to fraction form
    40.48/55.88 = 28.19/x
  3. Step 3: Cross multiply
    40.48x = 55.88 × 28.19
  4. Step 4: Simplify right side
    40.48x = 1,575.47
  5. Step 5: Solve for x
    x = 1,575.47/40.48
  6. Step 6: Final answer
    x = 38.92

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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.