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Finding the Fourth Proportional to 259.82, 387.70 and 258.30

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Solution

The fourth proportional to 259.82, 387.70 and 258.30 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 387.70 = 258.30 : x
  2. Step 2: Convert to fraction form
    259.82/387.70 = 258.30/x
  3. Step 3: Cross multiply
    259.82x = 387.70 × 258.30
  4. Step 4: Simplify right side
    259.82x = 100,142.26
  5. Step 5: Solve for x
    x = 100,142.26/259.82
  6. Step 6: Final answer
    x = 385.43

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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.