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Finding the Fourth Proportional to 308.26, 459.68 and 261.82

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Solution

The fourth proportional to 308.26, 459.68 and 261.82 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.26 : 459.68 = 261.82 : x
  2. Step 2: Convert to fraction form
    308.26/459.68 = 261.82/x
  3. Step 3: Cross multiply
    308.26x = 459.68 × 261.82
  4. Step 4: Simplify right side
    308.26x = 120,353.42
  5. Step 5: Solve for x
    x = 120,353.42/308.26
  6. Step 6: Final answer
    x = 390.43

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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.