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Finding the Fourth Proportional to 206.92, 311.54 and 153.20

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Solution

The fourth proportional to 206.92, 311.54 and 153.20 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 311.54 = 153.20 : x
  2. Step 2: Convert to fraction form
    206.92/311.54 = 153.20/x
  3. Step 3: Cross multiply
    206.92x = 311.54 × 153.20
  4. Step 4: Simplify right side
    206.92x = 47,727.93
  5. Step 5: Solve for x
    x = 47,727.93/206.92
  6. Step 6: Final answer
    x = 230.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.