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Finding the Fourth Proportional to 158.25, 236.28 and 157.11

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Solution

The fourth proportional to 158.25, 236.28 and 157.11 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 236.28 = 157.11 : x
  2. Step 2: Convert to fraction form
    158.25/236.28 = 157.11/x
  3. Step 3: Cross multiply
    158.25x = 236.28 × 157.11
  4. Step 4: Simplify right side
    158.25x = 37,122.98
  5. Step 5: Solve for x
    x = 37,122.98/158.25
  6. Step 6: Final answer
    x = 234.58

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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.