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Finding the Fourth Proportional to 159.44, 218.14 and 158.76

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Solution

The fourth proportional to 159.44, 218.14 and 158.76 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 218.14 = 158.76 : x
  2. Step 2: Convert to fraction form
    159.44/218.14 = 158.76/x
  3. Step 3: Cross multiply
    159.44x = 218.14 × 158.76
  4. Step 4: Simplify right side
    159.44x = 34,631.51
  5. Step 5: Solve for x
    x = 34,631.51/159.44
  6. Step 6: Final answer
    x = 217.20

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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.