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Finding the Fourth Proportional to 158.05, 236.77 and 76.64

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Solution

The fourth proportional to 158.05, 236.77 and 76.64 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.05 : 236.77 = 76.64 : x
  2. Step 2: Convert to fraction form
    158.05/236.77 = 76.64/x
  3. Step 3: Cross multiply
    158.05x = 236.77 × 76.64
  4. Step 4: Simplify right side
    158.05x = 18,145.67
  5. Step 5: Solve for x
    x = 18,145.67/158.05
  6. Step 6: Final answer
    x = 114.81

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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.