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Finding the Fourth Proportional to 159.51, 218.22 and 158.83

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Solution

The fourth proportional to 159.51, 218.22 and 158.83 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 218.22 = 158.83 : x
  2. Step 2: Convert to fraction form
    159.51/218.22 = 158.83/x
  3. Step 3: Cross multiply
    159.51x = 218.22 × 158.83
  4. Step 4: Simplify right side
    159.51x = 34,658.79
  5. Step 5: Solve for x
    x = 34,658.79/159.51
  6. Step 6: Final answer
    x = 217.29

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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.