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Finding the Fourth Proportional to 259.68, 387.76 and 232.08

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Solution

The fourth proportional to 259.68, 387.76 and 232.08 is: 346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.68 : 387.76 = 232.08 : x
  2. Step 2: Convert to fraction form
    259.68/387.76 = 232.08/x
  3. Step 3: Cross multiply
    259.68x = 387.76 × 232.08
  4. Step 4: Simplify right side
    259.68x = 89,991.34
  5. Step 5: Solve for x
    x = 89,991.34/259.68
  6. Step 6: Final answer
    x = 346.55

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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.