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Finding the Fourth Proportional to 495.97, 743.97 and 187.76

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Solution

The fourth proportional to 495.97, 743.97 and 187.76 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.97 : 743.97 = 187.76 : x
  2. Step 2: Convert to fraction form
    495.97/743.97 = 187.76/x
  3. Step 3: Cross multiply
    495.97x = 743.97 × 187.76
  4. Step 4: Simplify right side
    495.97x = 139,688.79
  5. Step 5: Solve for x
    x = 139,688.79/495.97
  6. Step 6: Final answer
    x = 281.65

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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.