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Finding the Fourth Proportional to 207.39, 311.22 and 99.30

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Solution

The fourth proportional to 207.39, 311.22 and 99.30 is: 149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 311.22 = 99.30 : x
  2. Step 2: Convert to fraction form
    207.39/311.22 = 99.30/x
  3. Step 3: Cross multiply
    207.39x = 311.22 × 99.30
  4. Step 4: Simplify right side
    207.39x = 30,904.15
  5. Step 5: Solve for x
    x = 30,904.15/207.39
  6. Step 6: Final answer
    x = 149.01

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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.