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Finding the Fourth Proportional to 311.65, 470.03 and 308.17

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Solution

The fourth proportional to 311.65, 470.03 and 308.17 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 470.03 = 308.17 : x
  2. Step 2: Convert to fraction form
    311.65/470.03 = 308.17/x
  3. Step 3: Cross multiply
    311.65x = 470.03 × 308.17
  4. Step 4: Simplify right side
    311.65x = 144,852.00
  5. Step 5: Solve for x
    x = 144,852.00/311.65
  6. Step 6: Final answer
    x = 464.79

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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.