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Finding the Fourth Proportional to 159.21, 217.83 and 158.61

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Solution

The fourth proportional to 159.21, 217.83 and 158.61 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 217.83 = 158.61 : x
  2. Step 2: Convert to fraction form
    159.21/217.83 = 158.61/x
  3. Step 3: Cross multiply
    159.21x = 217.83 × 158.61
  4. Step 4: Simplify right side
    159.21x = 34,550.02
  5. Step 5: Solve for x
    x = 34,550.02/159.21
  6. Step 6: Final answer
    x = 217.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.