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Finding the Fourth Proportional to 280.62, 418.46 and 261.14

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Solution

The fourth proportional to 280.62, 418.46 and 261.14 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 418.46 = 261.14 : x
  2. Step 2: Convert to fraction form
    280.62/418.46 = 261.14/x
  3. Step 3: Cross multiply
    280.62x = 418.46 × 261.14
  4. Step 4: Simplify right side
    280.62x = 109,276.38
  5. Step 5: Solve for x
    x = 109,276.38/280.62
  6. Step 6: Final answer
    x = 389.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.