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Finding the Fourth Proportional to 287.11, 396.30 and 176.65

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Solution

The fourth proportional to 287.11, 396.30 and 176.65 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.11 : 396.30 = 176.65 : x
  2. Step 2: Convert to fraction form
    287.11/396.30 = 176.65/x
  3. Step 3: Cross multiply
    287.11x = 396.30 × 176.65
  4. Step 4: Simplify right side
    287.11x = 70,006.40
  5. Step 5: Solve for x
    x = 70,006.40/287.11
  6. Step 6: Final answer
    x = 243.83

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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.