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Finding the Fourth Proportional to 495.90, 743.98 and 149.24

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Solution

The fourth proportional to 495.90, 743.98 and 149.24 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 743.98 = 149.24 : x
  2. Step 2: Convert to fraction form
    495.90/743.98 = 149.24/x
  3. Step 3: Cross multiply
    495.90x = 743.98 × 149.24
  4. Step 4: Simplify right side
    495.90x = 111,031.58
  5. Step 5: Solve for x
    x = 111,031.58/495.90
  6. Step 6: Final answer
    x = 223.90

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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.