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Finding the Fourth Proportional to 286.62, 427.17 and 284.24

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Solution

The fourth proportional to 286.62, 427.17 and 284.24 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 427.17 = 284.24 : x
  2. Step 2: Convert to fraction form
    286.62/427.17 = 284.24/x
  3. Step 3: Cross multiply
    286.62x = 427.17 × 284.24
  4. Step 4: Simplify right side
    286.62x = 121,416.66
  5. Step 5: Solve for x
    x = 121,416.66/286.62
  6. Step 6: Final answer
    x = 423.62

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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.