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Finding the Fourth Proportional to 495.25, 742.85 and 187.08

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Solution

The fourth proportional to 495.25, 742.85 and 187.08 is: 280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 742.85 = 187.08 : x
  2. Step 2: Convert to fraction form
    495.25/742.85 = 187.08/x
  3. Step 3: Cross multiply
    495.25x = 742.85 × 187.08
  4. Step 4: Simplify right side
    495.25x = 138,969.36
  5. Step 5: Solve for x
    x = 138,969.36/495.25
  6. Step 6: Final answer
    x = 280.61

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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.