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Finding the Fourth Proportional to 643.17, 965.26 and 232.70

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Solution

The fourth proportional to 643.17, 965.26 and 232.70 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.17 : 965.26 = 232.70 : x
  2. Step 2: Convert to fraction form
    643.17/965.26 = 232.70/x
  3. Step 3: Cross multiply
    643.17x = 965.26 × 232.70
  4. Step 4: Simplify right side
    643.17x = 224,616.00
  5. Step 5: Solve for x
    x = 224,616.00/643.17
  6. Step 6: Final answer
    x = 349.23

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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.