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Finding the Fourth Proportional to 49.42, 67.33 and 48.49

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Solution

The fourth proportional to 49.42, 67.33 and 48.49 is: 66.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 67.33 = 48.49 : x
  2. Step 2: Convert to fraction form
    49.42/67.33 = 48.49/x
  3. Step 3: Cross multiply
    49.42x = 67.33 × 48.49
  4. Step 4: Simplify right side
    49.42x = 3,264.83
  5. Step 5: Solve for x
    x = 3,264.83/49.42
  6. Step 6: Final answer
    x = 66.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.