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Finding the Fourth Proportional to 259.29, 385.76 and 257.31

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Solution

The fourth proportional to 259.29, 385.76 and 257.31 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.29 : 385.76 = 257.31 : x
  2. Step 2: Convert to fraction form
    259.29/385.76 = 257.31/x
  3. Step 3: Cross multiply
    259.29x = 385.76 × 257.31
  4. Step 4: Simplify right side
    259.29x = 99,260.55
  5. Step 5: Solve for x
    x = 99,260.55/259.29
  6. Step 6: Final answer
    x = 382.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.