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Finding the Fourth Proportional to 159.83, 220.48 and 153.62

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Solution

The fourth proportional to 159.83, 220.48 and 153.62 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 220.48 = 153.62 : x
  2. Step 2: Convert to fraction form
    159.83/220.48 = 153.62/x
  3. Step 3: Cross multiply
    159.83x = 220.48 × 153.62
  4. Step 4: Simplify right side
    159.83x = 33,870.14
  5. Step 5: Solve for x
    x = 33,870.14/159.83
  6. Step 6: Final answer
    x = 211.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.