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Finding the Fourth Proportional to 233.57, 347.19 and 227.34

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Solution

The fourth proportional to 233.57, 347.19 and 227.34 is: 337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 347.19 = 227.34 : x
  2. Step 2: Convert to fraction form
    233.57/347.19 = 227.34/x
  3. Step 3: Cross multiply
    233.57x = 347.19 × 227.34
  4. Step 4: Simplify right side
    233.57x = 78,929.32
  5. Step 5: Solve for x
    x = 78,929.32/233.57
  6. Step 6: Final answer
    x = 337.92

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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.