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Finding the Fourth Proportional to 260.68, 389.25 and 233.08

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Solution

The fourth proportional to 260.68, 389.25 and 233.08 is: 348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 389.25 = 233.08 : x
  2. Step 2: Convert to fraction form
    260.68/389.25 = 233.08/x
  3. Step 3: Cross multiply
    260.68x = 389.25 × 233.08
  4. Step 4: Simplify right side
    260.68x = 90,726.39
  5. Step 5: Solve for x
    x = 90,726.39/260.68
  6. Step 6: Final answer
    x = 348.04

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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.