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Finding the Fourth Proportional to 287.62, 397.83 and 226.06

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Solution

The fourth proportional to 287.62, 397.83 and 226.06 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.62 : 397.83 = 226.06 : x
  2. Step 2: Convert to fraction form
    287.62/397.83 = 226.06/x
  3. Step 3: Cross multiply
    287.62x = 397.83 × 226.06
  4. Step 4: Simplify right side
    287.62x = 89,933.45
  5. Step 5: Solve for x
    x = 89,933.45/287.62
  6. Step 6: Final answer
    x = 312.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.