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Finding the Fourth Proportional to 49.28, 67.90 and 40.04

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Solution

The fourth proportional to 49.28, 67.90 and 40.04 is: 55.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.28 : 67.90 = 40.04 : x
  2. Step 2: Convert to fraction form
    49.28/67.90 = 40.04/x
  3. Step 3: Cross multiply
    49.28x = 67.90 × 40.04
  4. Step 4: Simplify right side
    49.28x = 2,718.72
  5. Step 5: Solve for x
    x = 2,718.72/49.28
  6. Step 6: Final answer
    x = 55.17

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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.