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Finding the Fourth Proportional to 207.42, 310.96 and 97.78

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Solution

The fourth proportional to 207.42, 310.96 and 97.78 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 310.96 = 97.78 : x
  2. Step 2: Convert to fraction form
    207.42/310.96 = 97.78/x
  3. Step 3: Cross multiply
    207.42x = 310.96 × 97.78
  4. Step 4: Simplify right side
    207.42x = 30,405.67
  5. Step 5: Solve for x
    x = 30,405.67/207.42
  6. Step 6: Final answer
    x = 146.59

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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.