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Finding the Fourth Proportional to 228.66, 343.07 and 137.42

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Solution

The fourth proportional to 228.66, 343.07 and 137.42 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.66 : 343.07 = 137.42 : x
  2. Step 2: Convert to fraction form
    228.66/343.07 = 137.42/x
  3. Step 3: Cross multiply
    228.66x = 343.07 × 137.42
  4. Step 4: Simplify right side
    228.66x = 47,144.08
  5. Step 5: Solve for x
    x = 47,144.08/228.66
  6. Step 6: Final answer
    x = 206.18

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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.