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Finding the Fourth Proportional to 311.26, 464.70 and 262.66

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Solution

The fourth proportional to 311.26, 464.70 and 262.66 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.26 : 464.70 = 262.66 : x
  2. Step 2: Convert to fraction form
    311.26/464.70 = 262.66/x
  3. Step 3: Cross multiply
    311.26x = 464.70 × 262.66
  4. Step 4: Simplify right side
    311.26x = 122,058.10
  5. Step 5: Solve for x
    x = 122,058.10/311.26
  6. Step 6: Final answer
    x = 392.14

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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.