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Finding the Fourth Proportional to 494.69, 742.70 and 278.42

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Solution

The fourth proportional to 494.69, 742.70 and 278.42 is: 418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 742.70 = 278.42 : x
  2. Step 2: Convert to fraction form
    494.69/742.70 = 278.42/x
  3. Step 3: Cross multiply
    494.69x = 742.70 × 278.42
  4. Step 4: Simplify right side
    494.69x = 206,779.52
  5. Step 5: Solve for x
    x = 206,779.52/494.69
  6. Step 6: Final answer
    x = 418.00

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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.