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Finding the Fourth Proportional to 261.90, 359.06 and 257.31

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Solution

The fourth proportional to 261.90, 359.06 and 257.31 is: 352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 359.06 = 257.31 : x
  2. Step 2: Convert to fraction form
    261.90/359.06 = 257.31/x
  3. Step 3: Cross multiply
    261.90x = 359.06 × 257.31
  4. Step 4: Simplify right side
    261.90x = 92,388.44
  5. Step 5: Solve for x
    x = 92,388.44/261.90
  6. Step 6: Final answer
    x = 352.76

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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.