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Finding the Fourth Proportional to 228.77, 343.11 and 74.69

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Solution

The fourth proportional to 228.77, 343.11 and 74.69 is: 112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.77 : 343.11 = 74.69 : x
  2. Step 2: Convert to fraction form
    228.77/343.11 = 74.69/x
  3. Step 3: Cross multiply
    228.77x = 343.11 × 74.69
  4. Step 4: Simplify right side
    228.77x = 25,625.17
  5. Step 5: Solve for x
    x = 25,625.17/228.77
  6. Step 6: Final answer
    x = 112.02

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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.