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Finding the Fourth Proportional to 260.78, 389.16 and 233.45

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Solution

The fourth proportional to 260.78, 389.16 and 233.45 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 389.16 = 233.45 : x
  2. Step 2: Convert to fraction form
    260.78/389.16 = 233.45/x
  3. Step 3: Cross multiply
    260.78x = 389.16 × 233.45
  4. Step 4: Simplify right side
    260.78x = 90,847.46
  5. Step 5: Solve for x
    x = 90,847.46/260.78
  6. Step 6: Final answer
    x = 348.37

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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.