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Finding the Fourth Proportional to 228.60, 342.97 and 132.34

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Solution

The fourth proportional to 228.60, 342.97 and 132.34 is: 198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.60 : 342.97 = 132.34 : x
  2. Step 2: Convert to fraction form
    228.60/342.97 = 132.34/x
  3. Step 3: Cross multiply
    228.60x = 342.97 × 132.34
  4. Step 4: Simplify right side
    228.60x = 45,388.65
  5. Step 5: Solve for x
    x = 45,388.65/228.60
  6. Step 6: Final answer
    x = 198.55

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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.