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Finding the Fourth Proportional to 742.16, 1,113.15 and 248.57

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Solution

The fourth proportional to 742.16, 1,113.15 and 248.57 is: 372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.16 : 1,113.15 = 248.57 : x
  2. Step 2: Convert to fraction form
    742.16/1,113.15 = 248.57/x
  3. Step 3: Cross multiply
    742.16x = 1,113.15 × 248.57
  4. Step 4: Simplify right side
    742.16x = 276,695.70
  5. Step 5: Solve for x
    x = 276,695.70/742.16
  6. Step 6: Final answer
    x = 372.82

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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.