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Finding the Fourth Proportional to 308.06, 459.81 and 271.61

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Solution

The fourth proportional to 308.06, 459.81 and 271.61 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 459.81 = 271.61 : x
  2. Step 2: Convert to fraction form
    308.06/459.81 = 271.61/x
  3. Step 3: Cross multiply
    308.06x = 459.81 × 271.61
  4. Step 4: Simplify right side
    308.06x = 124,887.64
  5. Step 5: Solve for x
    x = 124,887.64/308.06
  6. Step 6: Final answer
    x = 405.40

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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.