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Finding the Fourth Proportional to 259.60, 387.17 and 233.68

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Solution

The fourth proportional to 259.60, 387.17 and 233.68 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 387.17 = 233.68 : x
  2. Step 2: Convert to fraction form
    259.60/387.17 = 233.68/x
  3. Step 3: Cross multiply
    259.60x = 387.17 × 233.68
  4. Step 4: Simplify right side
    259.60x = 90,473.89
  5. Step 5: Solve for x
    x = 90,473.89/259.60
  6. Step 6: Final answer
    x = 348.51

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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.