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Finding the Fourth Proportional to 159.16, 220.81 and 153.40

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Solution

The fourth proportional to 159.16, 220.81 and 153.40 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 220.81 = 153.40 : x
  2. Step 2: Convert to fraction form
    159.16/220.81 = 153.40/x
  3. Step 3: Cross multiply
    159.16x = 220.81 × 153.40
  4. Step 4: Simplify right side
    159.16x = 33,872.25
  5. Step 5: Solve for x
    x = 33,872.25/159.16
  6. Step 6: Final answer
    x = 212.82

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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.