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Finding the Fourth Proportional to 280.94, 387.65 and 168.95

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Solution

The fourth proportional to 280.94, 387.65 and 168.95 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 387.65 = 168.95 : x
  2. Step 2: Convert to fraction form
    280.94/387.65 = 168.95/x
  3. Step 3: Cross multiply
    280.94x = 387.65 × 168.95
  4. Step 4: Simplify right side
    280.94x = 65,494.86
  5. Step 5: Solve for x
    x = 65,494.86/280.94
  6. Step 6: Final answer
    x = 233.13

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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.