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Finding the Fourth Proportional to 260.92, 389.36 and 233.58

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Solution

The fourth proportional to 260.92, 389.36 and 233.58 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.92 : 389.36 = 233.58 : x
  2. Step 2: Convert to fraction form
    260.92/389.36 = 233.58/x
  3. Step 3: Cross multiply
    260.92x = 389.36 × 233.58
  4. Step 4: Simplify right side
    260.92x = 90,946.71
  5. Step 5: Solve for x
    x = 90,946.71/260.92
  6. Step 6: Final answer
    x = 348.56

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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.