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Finding the Fourth Proportional to 274.52, 378.98 and 187.65

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Solution

The fourth proportional to 274.52, 378.98 and 187.65 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 378.98 = 187.65 : x
  2. Step 2: Convert to fraction form
    274.52/378.98 = 187.65/x
  3. Step 3: Cross multiply
    274.52x = 378.98 × 187.65
  4. Step 4: Simplify right side
    274.52x = 71,115.60
  5. Step 5: Solve for x
    x = 71,115.60/274.52
  6. Step 6: Final answer
    x = 259.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.