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Finding the Fourth Proportional to 259.44, 387.03 and 232.08

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Solution

The fourth proportional to 259.44, 387.03 and 232.08 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 387.03 = 232.08 : x
  2. Step 2: Convert to fraction form
    259.44/387.03 = 232.08/x
  3. Step 3: Cross multiply
    259.44x = 387.03 × 232.08
  4. Step 4: Simplify right side
    259.44x = 89,821.92
  5. Step 5: Solve for x
    x = 89,821.92/259.44
  6. Step 6: Final answer
    x = 346.21

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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.