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Finding the Fourth Proportional to 232.47, 346.91 and 208.17

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Solution

The fourth proportional to 232.47, 346.91 and 208.17 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 346.91 = 208.17 : x
  2. Step 2: Convert to fraction form
    232.47/346.91 = 208.17/x
  3. Step 3: Cross multiply
    232.47x = 346.91 × 208.17
  4. Step 4: Simplify right side
    232.47x = 72,216.25
  5. Step 5: Solve for x
    x = 72,216.25/232.47
  6. Step 6: Final answer
    x = 310.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.