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Finding the Fourth Proportional to 662.24, 993.52 and 229.42

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Solution

The fourth proportional to 662.24, 993.52 and 229.42 is: 344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 993.52 = 229.42 : x
  2. Step 2: Convert to fraction form
    662.24/993.52 = 229.42/x
  3. Step 3: Cross multiply
    662.24x = 993.52 × 229.42
  4. Step 4: Simplify right side
    662.24x = 227,933.36
  5. Step 5: Solve for x
    x = 227,933.36/662.24
  6. Step 6: Final answer
    x = 344.19

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1.5x scale

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.