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Finding the Fourth Proportional to 259.42, 356.98 and 257.82

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Solution

The fourth proportional to 259.42, 356.98 and 257.82 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 356.98 = 257.82 : x
  2. Step 2: Convert to fraction form
    259.42/356.98 = 257.82/x
  3. Step 3: Cross multiply
    259.42x = 356.98 × 257.82
  4. Step 4: Simplify right side
    259.42x = 92,036.58
  5. Step 5: Solve for x
    x = 92,036.58/259.42
  6. Step 6: Final answer
    x = 354.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.