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Finding the Fourth Proportional to 286.17, 426.06 and 284.79

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Solution

The fourth proportional to 286.17, 426.06 and 284.79 is: 424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 426.06 = 284.79 : x
  2. Step 2: Convert to fraction form
    286.17/426.06 = 284.79/x
  3. Step 3: Cross multiply
    286.17x = 426.06 × 284.79
  4. Step 4: Simplify right side
    286.17x = 121,339.23
  5. Step 5: Solve for x
    x = 121,339.23/286.17
  6. Step 6: Final answer
    x = 424.02

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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.