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Finding the Fourth Proportional to 159.77, 222.02 and 158.10

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Solution

The fourth proportional to 159.77, 222.02 and 158.10 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 222.02 = 158.10 : x
  2. Step 2: Convert to fraction form
    159.77/222.02 = 158.10/x
  3. Step 3: Cross multiply
    159.77x = 222.02 × 158.10
  4. Step 4: Simplify right side
    159.77x = 35,101.14
  5. Step 5: Solve for x
    x = 35,101.14/159.77
  6. Step 6: Final answer
    x = 219.69

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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.