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Finding the Fourth Proportional to 232.30, 318.84 and 208.72

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Solution

The fourth proportional to 232.30, 318.84 and 208.72 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 318.84 = 208.72 : x
  2. Step 2: Convert to fraction form
    232.30/318.84 = 208.72/x
  3. Step 3: Cross multiply
    232.30x = 318.84 × 208.72
  4. Step 4: Simplify right side
    232.30x = 66,547.49
  5. Step 5: Solve for x
    x = 66,547.49/232.30
  6. Step 6: Final answer
    x = 286.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.