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Finding the Fourth Proportional to 280.14, 386.67 and 169.65

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Solution

The fourth proportional to 280.14, 386.67 and 169.65 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 386.67 = 169.65 : x
  2. Step 2: Convert to fraction form
    280.14/386.67 = 169.65/x
  3. Step 3: Cross multiply
    280.14x = 386.67 × 169.65
  4. Step 4: Simplify right side
    280.14x = 65,598.57
  5. Step 5: Solve for x
    x = 65,598.57/280.14
  6. Step 6: Final answer
    x = 234.16

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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.