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Finding the Fourth Proportional to 248.38, 372.10 and 140.25

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Solution

The fourth proportional to 248.38, 372.10 and 140.25 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.38 : 372.10 = 140.25 : x
  2. Step 2: Convert to fraction form
    248.38/372.10 = 140.25/x
  3. Step 3: Cross multiply
    248.38x = 372.10 × 140.25
  4. Step 4: Simplify right side
    248.38x = 52,184.81
  5. Step 5: Solve for x
    x = 52,184.81/248.38
  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.