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Finding the Fourth Proportional to 261.56, 394.61 and 254.27

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Solution

The fourth proportional to 261.56, 394.61 and 254.27 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 394.61 = 254.27 : x
  2. Step 2: Convert to fraction form
    261.56/394.61 = 254.27/x
  3. Step 3: Cross multiply
    261.56x = 394.61 × 254.27
  4. Step 4: Simplify right side
    261.56x = 100,337.20
  5. Step 5: Solve for x
    x = 100,337.20/261.56
  6. Step 6: Final answer
    x = 383.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.