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Finding the Fourth Proportional to 494.81, 742.47 and 186.86

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Solution

The fourth proportional to 494.81, 742.47 and 186.86 is: 280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 742.47 = 186.86 : x
  2. Step 2: Convert to fraction form
    494.81/742.47 = 186.86/x
  3. Step 3: Cross multiply
    494.81x = 742.47 × 186.86
  4. Step 4: Simplify right side
    494.81x = 138,734.92
  5. Step 5: Solve for x
    x = 138,734.92/494.81
  6. Step 6: Final answer
    x = 280.38

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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.