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Finding the Fourth Proportional to 311.32, 464.69 and 288.79

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Solution

The fourth proportional to 311.32, 464.69 and 288.79 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 464.69 = 288.79 : x
  2. Step 2: Convert to fraction form
    311.32/464.69 = 288.79/x
  3. Step 3: Cross multiply
    311.32x = 464.69 × 288.79
  4. Step 4: Simplify right side
    311.32x = 134,195.50
  5. Step 5: Solve for x
    x = 134,195.50/311.32
  6. Step 6: Final answer
    x = 431.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.