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Finding the Fourth Proportional to 311.69, 466.25 and 261.93

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Solution

The fourth proportional to 311.69, 466.25 and 261.93 is: 391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 466.25 = 261.93 : x
  2. Step 2: Convert to fraction form
    311.69/466.25 = 261.93/x
  3. Step 3: Cross multiply
    311.69x = 466.25 × 261.93
  4. Step 4: Simplify right side
    311.69x = 122,123.55
  5. Step 5: Solve for x
    x = 122,123.55/311.69
  6. Step 6: Final answer
    x = 391.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.