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Finding the Fourth Proportional to 248.28, 372.36 and 77.28

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Solution

The fourth proportional to 248.28, 372.36 and 77.28 is: 115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.28 : 372.36 = 77.28 : x
  2. Step 2: Convert to fraction form
    248.28/372.36 = 77.28/x
  3. Step 3: Cross multiply
    248.28x = 372.36 × 77.28
  4. Step 4: Simplify right side
    248.28x = 28,775.98
  5. Step 5: Solve for x
    x = 28,775.98/248.28
  6. Step 6: Final answer
    x = 115.90

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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.