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Finding the Fourth Proportional to 280.13, 386.53 and 169.62

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Solution

The fourth proportional to 280.13, 386.53 and 169.62 is: 234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 386.53 = 169.62 : x
  2. Step 2: Convert to fraction form
    280.13/386.53 = 169.62/x
  3. Step 3: Cross multiply
    280.13x = 386.53 × 169.62
  4. Step 4: Simplify right side
    280.13x = 65,561.29
  5. Step 5: Solve for x
    x = 65,561.29/280.13
  6. Step 6: Final answer
    x = 234.04

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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.