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Finding the Fourth Proportional to 311.66, 430.14 and 195.20

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Solution

The fourth proportional to 311.66, 430.14 and 195.20 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 430.14 = 195.20 : x
  2. Step 2: Convert to fraction form
    311.66/430.14 = 195.20/x
  3. Step 3: Cross multiply
    311.66x = 430.14 × 195.20
  4. Step 4: Simplify right side
    311.66x = 83,961.18
  5. Step 5: Solve for x
    x = 83,961.18/311.66
  6. Step 6: Final answer
    x = 269.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.