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Finding the Fourth Proportional to 232.20, 347.94 and 102.06

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Solution

The fourth proportional to 232.20, 347.94 and 102.06 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 347.94 = 102.06 : x
  2. Step 2: Convert to fraction form
    232.20/347.94 = 102.06/x
  3. Step 3: Cross multiply
    232.20x = 347.94 × 102.06
  4. Step 4: Simplify right side
    232.20x = 35,510.76
  5. Step 5: Solve for x
    x = 35,510.76/232.20
  6. Step 6: Final answer
    x = 152.93

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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.