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Finding the Fourth Proportional to 286.42, 426.70 and 272.66

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Solution

The fourth proportional to 286.42, 426.70 and 272.66 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 426.70 = 272.66 : x
  2. Step 2: Convert to fraction form
    286.42/426.70 = 272.66/x
  3. Step 3: Cross multiply
    286.42x = 426.70 × 272.66
  4. Step 4: Simplify right side
    286.42x = 116,344.02
  5. Step 5: Solve for x
    x = 116,344.02/286.42
  6. Step 6: Final answer
    x = 406.20

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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.