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Finding the Fourth Proportional to 208.20, 287.55 and 167.16

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Solution

The fourth proportional to 208.20, 287.55 and 167.16 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 287.55 = 167.16 : x
  2. Step 2: Convert to fraction form
    208.20/287.55 = 167.16/x
  3. Step 3: Cross multiply
    208.20x = 287.55 × 167.16
  4. Step 4: Simplify right side
    208.20x = 48,066.86
  5. Step 5: Solve for x
    x = 48,066.86/208.20
  6. Step 6: Final answer
    x = 230.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.