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Finding the Fourth Proportional to 309.14, 462.83 and 178.92

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Solution

The fourth proportional to 309.14, 462.83 and 178.92 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 462.83 = 178.92 : x
  2. Step 2: Convert to fraction form
    309.14/462.83 = 178.92/x
  3. Step 3: Cross multiply
    309.14x = 462.83 × 178.92
  4. Step 4: Simplify right side
    309.14x = 82,808.65
  5. Step 5: Solve for x
    x = 82,808.65/309.14
  6. Step 6: Final answer
    x = 267.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.