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Finding the Fourth Proportional to 499.16, 748.25 and 293.45

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Solution

The fourth proportional to 499.16, 748.25 and 293.45 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.16 : 748.25 = 293.45 : x
  2. Step 2: Convert to fraction form
    499.16/748.25 = 293.45/x
  3. Step 3: Cross multiply
    499.16x = 748.25 × 293.45
  4. Step 4: Simplify right side
    499.16x = 219,572.50
  5. Step 5: Solve for x
    x = 219,572.50/499.16
  6. Step 6: Final answer
    x = 439.88

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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.