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Finding the Fourth Proportional to 248.50, 372.75 and 96.50

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Solution

The fourth proportional to 248.50, 372.75 and 96.50 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 372.75 = 96.50 : x
  2. Step 2: Convert to fraction form
    248.50/372.75 = 96.50/x
  3. Step 3: Cross multiply
    248.50x = 372.75 × 96.50
  4. Step 4: Simplify right side
    248.50x = 35,970.38
  5. Step 5: Solve for x
    x = 35,970.38/248.50
  6. Step 6: Final answer
    x = 144.75

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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.