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Finding the Fourth Proportional to 228.18, 343.66 and 174.44

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Solution

The fourth proportional to 228.18, 343.66 and 174.44 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.18 : 343.66 = 174.44 : x
  2. Step 2: Convert to fraction form
    228.18/343.66 = 174.44/x
  3. Step 3: Cross multiply
    228.18x = 343.66 × 174.44
  4. Step 4: Simplify right side
    228.18x = 59,948.05
  5. Step 5: Solve for x
    x = 59,948.05/228.18
  6. Step 6: Final answer
    x = 262.72

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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.