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Finding the Fourth Proportional to 248.14, 372.15 and 74.77

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Solution

The fourth proportional to 248.14, 372.15 and 74.77 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.14 : 372.15 = 74.77 : x
  2. Step 2: Convert to fraction form
    248.14/372.15 = 74.77/x
  3. Step 3: Cross multiply
    248.14x = 372.15 × 74.77
  4. Step 4: Simplify right side
    248.14x = 27,825.66
  5. Step 5: Solve for x
    x = 27,825.66/248.14
  6. Step 6: Final answer
    x = 112.14

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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.