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Finding the Fourth Proportional to 259.47, 387.14 and 235.17

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Solution

The fourth proportional to 259.47, 387.14 and 235.17 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.47 : 387.14 = 235.17 : x
  2. Step 2: Convert to fraction form
    259.47/387.14 = 235.17/x
  3. Step 3: Cross multiply
    259.47x = 387.14 × 235.17
  4. Step 4: Simplify right side
    259.47x = 91,042.54
  5. Step 5: Solve for x
    x = 91,042.54/259.47
  6. Step 6: Final answer
    x = 350.88

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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.