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Finding the Fourth Proportional to 232.40, 336.50 and 232.40

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Solution

The fourth proportional to 232.40, 336.50 and 232.40 is: 336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 336.50 = 232.40 : x
  2. Step 2: Convert to fraction form
    232.40/336.50 = 232.40/x
  3. Step 3: Cross multiply
    232.40x = 336.50 × 232.40
  4. Step 4: Simplify right side
    232.40x = 78,202.60
  5. Step 5: Solve for x
    x = 78,202.60/232.40
  6. Step 6: Final answer
    x = 336.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.