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Finding the Fourth Proportional to 259.57, 387.03 and 256.37

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Solution

The fourth proportional to 259.57, 387.03 and 256.37 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.57 : 387.03 = 256.37 : x
  2. Step 2: Convert to fraction form
    259.57/387.03 = 256.37/x
  3. Step 3: Cross multiply
    259.57x = 387.03 × 256.37
  4. Step 4: Simplify right side
    259.57x = 99,222.88
  5. Step 5: Solve for x
    x = 99,222.88/259.57
  6. Step 6: Final answer
    x = 382.26

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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.