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Finding the Fourth Proportional to 232.66, 350.44 and 207.28

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Solution

The fourth proportional to 232.66, 350.44 and 207.28 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 350.44 = 207.28 : x
  2. Step 2: Convert to fraction form
    232.66/350.44 = 207.28/x
  3. Step 3: Cross multiply
    232.66x = 350.44 × 207.28
  4. Step 4: Simplify right side
    232.66x = 72,639.20
  5. Step 5: Solve for x
    x = 72,639.20/232.66
  6. Step 6: Final answer
    x = 312.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.