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Finding the Fourth Proportional to 498.33, 748.05 and 293.28

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Solution

The fourth proportional to 498.33, 748.05 and 293.28 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.33 : 748.05 = 293.28 : x
  2. Step 2: Convert to fraction form
    498.33/748.05 = 293.28/x
  3. Step 3: Cross multiply
    498.33x = 748.05 × 293.28
  4. Step 4: Simplify right side
    498.33x = 219,388.10
  5. Step 5: Solve for x
    x = 219,388.10/498.33
  6. Step 6: Final answer
    x = 440.25

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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.