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Finding the Fourth Proportional to 48.42, 66.78 and 39.24

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Solution

The fourth proportional to 48.42, 66.78 and 39.24 is: 54.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.42 : 66.78 = 39.24 : x
  2. Step 2: Convert to fraction form
    48.42/66.78 = 39.24/x
  3. Step 3: Cross multiply
    48.42x = 66.78 × 39.24
  4. Step 4: Simplify right side
    48.42x = 2,620.45
  5. Step 5: Solve for x
    x = 2,620.45/48.42
  6. Step 6: Final answer
    x = 54.12

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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.