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Finding the Fourth Proportional to 232.02, 347.40 and 140.54

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Solution

The fourth proportional to 232.02, 347.40 and 140.54 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 347.40 = 140.54 : x
  2. Step 2: Convert to fraction form
    232.02/347.40 = 140.54/x
  3. Step 3: Cross multiply
    232.02x = 347.40 × 140.54
  4. Step 4: Simplify right side
    232.02x = 48,821.86
  5. Step 5: Solve for x
    x = 48,821.86/232.02
  6. Step 6: Final answer
    x = 210.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.