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Finding the Fourth Proportional to 280.42, 387.20 and 214.16

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Solution

The fourth proportional to 280.42, 387.20 and 214.16 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.42 : 387.20 = 214.16 : x
  2. Step 2: Convert to fraction form
    280.42/387.20 = 214.16/x
  3. Step 3: Cross multiply
    280.42x = 387.20 × 214.16
  4. Step 4: Simplify right side
    280.42x = 82,922.75
  5. Step 5: Solve for x
    x = 82,922.75/280.42
  6. Step 6: Final answer
    x = 295.71

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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.