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Finding the Fourth Proportional to 159.78, 238.62 and 158.07

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Solution

The fourth proportional to 159.78, 238.62 and 158.07 is: 236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 238.62 = 158.07 : x
  2. Step 2: Convert to fraction form
    159.78/238.62 = 158.07/x
  3. Step 3: Cross multiply
    159.78x = 238.62 × 158.07
  4. Step 4: Simplify right side
    159.78x = 37,720.15
  5. Step 5: Solve for x
    x = 37,720.15/159.78
  6. Step 6: Final answer
    x = 236.07

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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.