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Finding the Fourth Proportional to 261.75, 362.83 and 257.39

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Solution

The fourth proportional to 261.75, 362.83 and 257.39 is: 356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.75 : 362.83 = 257.39 : x
  2. Step 2: Convert to fraction form
    261.75/362.83 = 257.39/x
  3. Step 3: Cross multiply
    261.75x = 362.83 × 257.39
  4. Step 4: Simplify right side
    261.75x = 93,388.43
  5. Step 5: Solve for x
    x = 93,388.43/261.75
  6. Step 6: Final answer
    x = 356.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.