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Finding the Fourth Proportional to 494.20, 742.10 and 358.20

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Solution

The fourth proportional to 494.20, 742.10 and 358.20 is: 537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 742.10 = 358.20 : x
  2. Step 2: Convert to fraction form
    494.20/742.10 = 358.20/x
  3. Step 3: Cross multiply
    494.20x = 742.10 × 358.20
  4. Step 4: Simplify right side
    494.20x = 265,820.22
  5. Step 5: Solve for x
    x = 265,820.22/494.20
  6. Step 6: Final answer
    x = 537.88

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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.