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Finding the Fourth Proportional to 260, 387.78 and 232.70

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Solution

The fourth proportional to 260, 387.78 and 232.70 is: 347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 387.78 = 232.70 : x
  2. Step 2: Convert to fraction form
    260/387.78 = 232.70/x
  3. Step 3: Cross multiply
    260x = 387.78 × 232.70
  4. Step 4: Simplify right side
    260x = 90,236.41
  5. Step 5: Solve for x
    x = 90,236.41/260
  6. Step 6: Final answer
    x = 347.06

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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.