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Finding the Fourth Proportional to 48.81, 67.40 and 42.21

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Solution

The fourth proportional to 48.81, 67.40 and 42.21 is: 58.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.81 : 67.40 = 42.21 : x
  2. Step 2: Convert to fraction form
    48.81/67.40 = 42.21/x
  3. Step 3: Cross multiply
    48.81x = 67.40 × 42.21
  4. Step 4: Simplify right side
    48.81x = 2,844.95
  5. Step 5: Solve for x
    x = 2,844.95/48.81
  6. Step 6: Final answer
    x = 58.29

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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.