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Finding the Fourth Proportional to 286.64, 428.01 and 225.08

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Solution

The fourth proportional to 286.64, 428.01 and 225.08 is: 336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 428.01 = 225.08 : x
  2. Step 2: Convert to fraction form
    286.64/428.01 = 225.08/x
  3. Step 3: Cross multiply
    286.64x = 428.01 × 225.08
  4. Step 4: Simplify right side
    286.64x = 96,334.35
  5. Step 5: Solve for x
    x = 96,334.35/286.64
  6. Step 6: Final answer
    x = 336.09

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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.