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Finding the Fourth Proportional to 495.38, 743.06 and 187.18

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Solution

The fourth proportional to 495.38, 743.06 and 187.18 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 743.06 = 187.18 : x
  2. Step 2: Convert to fraction form
    495.38/743.06 = 187.18/x
  3. Step 3: Cross multiply
    495.38x = 743.06 × 187.18
  4. Step 4: Simplify right side
    495.38x = 139,085.97
  5. Step 5: Solve for x
    x = 139,085.97/495.38
  6. Step 6: Final answer
    x = 280.77

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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.