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Finding the Fourth Proportional to 228.44, 343.92 and 156.77

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Solution

The fourth proportional to 228.44, 343.92 and 156.77 is: 236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.44 : 343.92 = 156.77 : x
  2. Step 2: Convert to fraction form
    228.44/343.92 = 156.77/x
  3. Step 3: Cross multiply
    228.44x = 343.92 × 156.77
  4. Step 4: Simplify right side
    228.44x = 53,914.03
  5. Step 5: Solve for x
    x = 53,914.03/228.44
  6. Step 6: Final answer
    x = 236.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.