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Finding the Fourth Proportional to 495.95, 743.69 and 187.58

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Solution

The fourth proportional to 495.95, 743.69 and 187.58 is: 281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.95 : 743.69 = 187.58 : x
  2. Step 2: Convert to fraction form
    495.95/743.69 = 187.58/x
  3. Step 3: Cross multiply
    495.95x = 743.69 × 187.58
  4. Step 4: Simplify right side
    495.95x = 139,500.91
  5. Step 5: Solve for x
    x = 139,500.91/495.95
  6. Step 6: Final answer
    x = 281.28

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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.