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Finding the Fourth Proportional to 248.20, 372.42 and 140.02

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Solution

The fourth proportional to 248.20, 372.42 and 140.02 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 372.42 = 140.02 : x
  2. Step 2: Convert to fraction form
    248.20/372.42 = 140.02/x
  3. Step 3: Cross multiply
    248.20x = 372.42 × 140.02
  4. Step 4: Simplify right side
    248.20x = 52,146.25
  5. Step 5: Solve for x
    x = 52,146.25/248.20
  6. Step 6: Final answer
    x = 210.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.