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Finding the Fourth Proportional to 159.93, 238.92 and 157.05

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Solution

The fourth proportional to 159.93, 238.92 and 157.05 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 238.92 = 157.05 : x
  2. Step 2: Convert to fraction form
    159.93/238.92 = 157.05/x
  3. Step 3: Cross multiply
    159.93x = 238.92 × 157.05
  4. Step 4: Simplify right side
    159.93x = 37,522.39
  5. Step 5: Solve for x
    x = 37,522.39/159.93
  6. Step 6: Final answer
    x = 234.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.