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Finding the Fourth Proportional to 260.87, 389.14 and 233.53

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Solution

The fourth proportional to 260.87, 389.14 and 233.53 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.87 : 389.14 = 233.53 : x
  2. Step 2: Convert to fraction form
    260.87/389.14 = 233.53/x
  3. Step 3: Cross multiply
    260.87x = 389.14 × 233.53
  4. Step 4: Simplify right side
    260.87x = 90,874.31
  5. Step 5: Solve for x
    x = 90,874.31/260.87
  6. Step 6: Final answer
    x = 348.36

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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.