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Finding the Fourth Proportional to 248.28, 372.12 and 102.02

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Solution

The fourth proportional to 248.28, 372.12 and 102.02 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.28 : 372.12 = 102.02 : x
  2. Step 2: Convert to fraction form
    248.28/372.12 = 102.02/x
  3. Step 3: Cross multiply
    248.28x = 372.12 × 102.02
  4. Step 4: Simplify right side
    248.28x = 37,963.68
  5. Step 5: Solve for x
    x = 37,963.68/248.28
  6. Step 6: Final answer
    x = 152.91

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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.