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Finding the Fourth Proportional to 466.57, 699.87 and 223.12

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Solution

The fourth proportional to 466.57, 699.87 and 223.12 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 699.87 = 223.12 : x
  2. Step 2: Convert to fraction form
    466.57/699.87 = 223.12/x
  3. Step 3: Cross multiply
    466.57x = 699.87 × 223.12
  4. Step 4: Simplify right side
    466.57x = 156,150.38
  5. Step 5: Solve for x
    x = 156,150.38/466.57
  6. Step 6: Final answer
    x = 334.68

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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.