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Finding the Fourth Proportional to 159.22, 238.57 and 153.23

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Solution

The fourth proportional to 159.22, 238.57 and 153.23 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.22 : 238.57 = 153.23 : x
  2. Step 2: Convert to fraction form
    159.22/238.57 = 153.23/x
  3. Step 3: Cross multiply
    159.22x = 238.57 × 153.23
  4. Step 4: Simplify right side
    159.22x = 36,554.89
  5. Step 5: Solve for x
    x = 36,554.89/159.22
  6. Step 6: Final answer
    x = 229.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.