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Finding the Fourth Proportional to 158.56, 238.01 and 115.25

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Solution

The fourth proportional to 158.56, 238.01 and 115.25 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.56 : 238.01 = 115.25 : x
  2. Step 2: Convert to fraction form
    158.56/238.01 = 115.25/x
  3. Step 3: Cross multiply
    158.56x = 238.01 × 115.25
  4. Step 4: Simplify right side
    158.56x = 27,429.53
  5. Step 5: Solve for x
    x = 27,429.53/158.56
  6. Step 6: Final answer
    x = 172.99

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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.