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Finding the Fourth Proportional to 206.04, 310.56 and 195.48

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Solution

The fourth proportional to 206.04, 310.56 and 195.48 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 310.56 = 195.48 : x
  2. Step 2: Convert to fraction form
    206.04/310.56 = 195.48/x
  3. Step 3: Cross multiply
    206.04x = 310.56 × 195.48
  4. Step 4: Simplify right side
    206.04x = 60,708.27
  5. Step 5: Solve for x
    x = 60,708.27/206.04
  6. Step 6: Final answer
    x = 294.64

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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.