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Finding the Fourth Proportional to 311.34, 464.67 and 303.15

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Solution

The fourth proportional to 311.34, 464.67 and 303.15 is: 452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 464.67 = 303.15 : x
  2. Step 2: Convert to fraction form
    311.34/464.67 = 303.15/x
  3. Step 3: Cross multiply
    311.34x = 464.67 × 303.15
  4. Step 4: Simplify right side
    311.34x = 140,864.71
  5. Step 5: Solve for x
    x = 140,864.71/311.34
  6. Step 6: Final answer
    x = 452.45

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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.