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Finding the Fourth Proportional to 49.20, 67.86 and 28.46

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Solution

The fourth proportional to 49.20, 67.86 and 28.46 is: 39.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.20 : 67.86 = 28.46 : x
  2. Step 2: Convert to fraction form
    49.20/67.86 = 28.46/x
  3. Step 3: Cross multiply
    49.20x = 67.86 × 28.46
  4. Step 4: Simplify right side
    49.20x = 1,931.30
  5. Step 5: Solve for x
    x = 1,931.30/49.20
  6. Step 6: Final answer
    x = 39.25

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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.