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Finding the Fourth Proportional to 48.49, 72.42 and 41.66

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Solution

The fourth proportional to 48.49, 72.42 and 41.66 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.49 : 72.42 = 41.66 : x
  2. Step 2: Convert to fraction form
    48.49/72.42 = 41.66/x
  3. Step 3: Cross multiply
    48.49x = 72.42 × 41.66
  4. Step 4: Simplify right side
    48.49x = 3,017.02
  5. Step 5: Solve for x
    x = 3,017.02/48.49
  6. Step 6: Final answer
    x = 62.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.