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Finding the Fourth Proportional to 663.07, 994.32 and 230.26

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Solution

The fourth proportional to 663.07, 994.32 and 230.26 is: 345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.07 : 994.32 = 230.26 : x
  2. Step 2: Convert to fraction form
    663.07/994.32 = 230.26/x
  3. Step 3: Cross multiply
    663.07x = 994.32 × 230.26
  4. Step 4: Simplify right side
    663.07x = 228,952.12
  5. Step 5: Solve for x
    x = 228,952.12/663.07
  6. Step 6: Final answer
    x = 345.29

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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.