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Finding the Fourth Proportional to 226.16, 312.00 and 159.87

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Solution

The fourth proportional to 226.16, 312.00 and 159.87 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312.00 = 159.87 : x
  2. Step 2: Convert to fraction form
    226.16/312.00 = 159.87/x
  3. Step 3: Cross multiply
    226.16x = 312.00 × 159.87
  4. Step 4: Simplify right side
    226.16x = 49,877.48
  5. Step 5: Solve for x
    x = 49,877.48/226.16
  6. Step 6: Final answer
    x = 220.55

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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.