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Finding the Fourth Proportional to 261.08, 357.54 and 257.66

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Solution

The fourth proportional to 261.08, 357.54 and 257.66 is: 352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.08 : 357.54 = 257.66 : x
  2. Step 2: Convert to fraction form
    261.08/357.54 = 257.66/x
  3. Step 3: Cross multiply
    261.08x = 357.54 × 257.66
  4. Step 4: Simplify right side
    261.08x = 92,125.08
  5. Step 5: Solve for x
    x = 92,125.08/261.08
  6. Step 6: Final answer
    x = 352.86

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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.