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Finding the Fourth Proportional to 742.25, 1,113.38 and 280.14

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Solution

The fourth proportional to 742.25, 1,113.38 and 280.14 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.25 : 1,113.38 = 280.14 : x
  2. Step 2: Convert to fraction form
    742.25/1,113.38 = 280.14/x
  3. Step 3: Cross multiply
    742.25x = 1,113.38 × 280.14
  4. Step 4: Simplify right side
    742.25x = 311,900.87
  5. Step 5: Solve for x
    x = 311,900.87/742.25
  6. Step 6: Final answer
    x = 420.21

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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.