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Finding the Fourth Proportional to 668.15, 1,002.34 and 229.38

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Solution

The fourth proportional to 668.15, 1,002.34 and 229.38 is: 344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.15 : 1,002.34 = 229.38 : x
  2. Step 2: Convert to fraction form
    668.15/1,002.34 = 229.38/x
  3. Step 3: Cross multiply
    668.15x = 1,002.34 × 229.38
  4. Step 4: Simplify right side
    668.15x = 229,916.75
  5. Step 5: Solve for x
    x = 229,916.75/668.15
  6. Step 6: Final answer
    x = 344.11

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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.