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Finding the Fourth Proportional to 742.96, 1,114.08 and 249.20

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Solution

The fourth proportional to 742.96, 1,114.08 and 249.20 is: 373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,114.08 = 249.20 : x
  2. Step 2: Convert to fraction form
    742.96/1,114.08 = 249.20/x
  3. Step 3: Cross multiply
    742.96x = 1,114.08 × 249.20
  4. Step 4: Simplify right side
    742.96x = 277,626.41
  5. Step 5: Solve for x
    x = 277,626.41/742.96
  6. Step 6: Final answer
    x = 373.68

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Double scale
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1.5x scale

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.