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Finding the Fourth Proportional to 228.42, 344.34 and 211.14

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Solution

The fourth proportional to 228.42, 344.34 and 211.14 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 344.34 = 211.14 : x
  2. Step 2: Convert to fraction form
    228.42/344.34 = 211.14/x
  3. Step 3: Cross multiply
    228.42x = 344.34 × 211.14
  4. Step 4: Simplify right side
    228.42x = 72,703.95
  5. Step 5: Solve for x
    x = 72,703.95/228.42
  6. Step 6: Final answer
    x = 318.29

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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.