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Finding the Fourth Proportional to 159.81, 222.03 and 157.89

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Solution

The fourth proportional to 159.81, 222.03 and 157.89 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.81 : 222.03 = 157.89 : x
  2. Step 2: Convert to fraction form
    159.81/222.03 = 157.89/x
  3. Step 3: Cross multiply
    159.81x = 222.03 × 157.89
  4. Step 4: Simplify right side
    159.81x = 35,056.32
  5. Step 5: Solve for x
    x = 35,056.32/159.81
  6. Step 6: Final answer
    x = 219.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.