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Finding the Fourth Proportional to 261.28, 357.98 and 257.86

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Solution

The fourth proportional to 261.28, 357.98 and 257.86 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 357.98 = 257.86 : x
  2. Step 2: Convert to fraction form
    261.28/357.98 = 257.86/x
  3. Step 3: Cross multiply
    261.28x = 357.98 × 257.86
  4. Step 4: Simplify right side
    261.28x = 92,308.72
  5. Step 5: Solve for x
    x = 92,308.72/261.28
  6. Step 6: Final answer
    x = 353.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.