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Finding the Fourth Proportional to 48.31, 66.45 and 42.18

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Solution

The fourth proportional to 48.31, 66.45 and 42.18 is: 58.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.31 : 66.45 = 42.18 : x
  2. Step 2: Convert to fraction form
    48.31/66.45 = 42.18/x
  3. Step 3: Cross multiply
    48.31x = 66.45 × 42.18
  4. Step 4: Simplify right side
    48.31x = 2,802.86
  5. Step 5: Solve for x
    x = 2,802.86/48.31
  6. Step 6: Final answer
    x = 58.02

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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.