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Finding the Fourth Proportional to 286.43, 428.73 and 149.28

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Solution

The fourth proportional to 286.43, 428.73 and 149.28 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.43 : 428.73 = 149.28 : x
  2. Step 2: Convert to fraction form
    286.43/428.73 = 149.28/x
  3. Step 3: Cross multiply
    286.43x = 428.73 × 149.28
  4. Step 4: Simplify right side
    286.43x = 64,001.06
  5. Step 5: Solve for x
    x = 64,001.06/286.43
  6. Step 6: Final answer
    x = 223.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.