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Finding the Fourth Proportional to 233.12, 347.40 and 225.38

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Solution

The fourth proportional to 233.12, 347.40 and 225.38 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 347.40 = 225.38 : x
  2. Step 2: Convert to fraction form
    233.12/347.40 = 225.38/x
  3. Step 3: Cross multiply
    233.12x = 347.40 × 225.38
  4. Step 4: Simplify right side
    233.12x = 78,295.89
  5. Step 5: Solve for x
    x = 78,295.89/233.12
  6. Step 6: Final answer
    x = 335.86

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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.