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Finding the Fourth Proportional to 311.78, 466.86 and 215.48

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Solution

The fourth proportional to 311.78, 466.86 and 215.48 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 466.86 = 215.48 : x
  2. Step 2: Convert to fraction form
    311.78/466.86 = 215.48/x
  3. Step 3: Cross multiply
    311.78x = 466.86 × 215.48
  4. Step 4: Simplify right side
    311.78x = 100,598.99
  5. Step 5: Solve for x
    x = 100,598.99/311.78
  6. Step 6: Final answer
    x = 322.66

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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.