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Finding the Fourth Proportional to 228.17, 343.83 and 188.48

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Solution

The fourth proportional to 228.17, 343.83 and 188.48 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.17 : 343.83 = 188.48 : x
  2. Step 2: Convert to fraction form
    228.17/343.83 = 188.48/x
  3. Step 3: Cross multiply
    228.17x = 343.83 × 188.48
  4. Step 4: Simplify right side
    228.17x = 64,806.64
  5. Step 5: Solve for x
    x = 64,806.64/228.17
  6. Step 6: Final answer
    x = 284.02

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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.