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Finding the Fourth Proportional to 233.85, 349.41 and 225.78

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Solution

The fourth proportional to 233.85, 349.41 and 225.78 is: 337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 349.41 = 225.78 : x
  2. Step 2: Convert to fraction form
    233.85/349.41 = 225.78/x
  3. Step 3: Cross multiply
    233.85x = 349.41 × 225.78
  4. Step 4: Simplify right side
    233.85x = 78,889.79
  5. Step 5: Solve for x
    x = 78,889.79/233.85
  6. Step 6: Final answer
    x = 337.35

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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.