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Finding the Fourth Proportional to 742.81, 1,114.17 and 194.99

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Solution

The fourth proportional to 742.81, 1,114.17 and 194.99 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.81 : 1,114.17 = 194.99 : x
  2. Step 2: Convert to fraction form
    742.81/1,114.17 = 194.99/x
  3. Step 3: Cross multiply
    742.81x = 1,114.17 × 194.99
  4. Step 4: Simplify right side
    742.81x = 217,255.16
  5. Step 5: Solve for x
    x = 217,255.16/742.81
  6. Step 6: Final answer
    x = 292.48

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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.