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Finding the Fourth Proportional to 234.90, 321.17 and 228.42

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Solution

The fourth proportional to 234.90, 321.17 and 228.42 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 321.17 = 228.42 : x
  2. Step 2: Convert to fraction form
    234.90/321.17 = 228.42/x
  3. Step 3: Cross multiply
    234.90x = 321.17 × 228.42
  4. Step 4: Simplify right side
    234.90x = 73,360.51
  5. Step 5: Solve for x
    x = 73,360.51/234.90
  6. Step 6: Final answer
    x = 312.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.