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Finding the Fourth Proportional to 495.74, 742.92 and 221.91

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Solution

The fourth proportional to 495.74, 742.92 and 221.91 is: 332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 742.92 = 221.91 : x
  2. Step 2: Convert to fraction form
    495.74/742.92 = 221.91/x
  3. Step 3: Cross multiply
    495.74x = 742.92 × 221.91
  4. Step 4: Simplify right side
    495.74x = 164,859.01
  5. Step 5: Solve for x
    x = 164,859.01/495.74
  6. Step 6: Final answer
    x = 332.55

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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.