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Finding the Fourth Proportional to 48.21, 71.92 and 42.57

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Solution

The fourth proportional to 48.21, 71.92 and 42.57 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.21 : 71.92 = 42.57 : x
  2. Step 2: Convert to fraction form
    48.21/71.92 = 42.57/x
  3. Step 3: Cross multiply
    48.21x = 71.92 × 42.57
  4. Step 4: Simplify right side
    48.21x = 3,061.53
  5. Step 5: Solve for x
    x = 3,061.53/48.21
  6. Step 6: Final answer
    x = 63.50

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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.