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Finding the Fourth Proportional to 220.78, 331.03 and 152.34

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Solution

The fourth proportional to 220.78, 331.03 and 152.34 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 331.03 = 152.34 : x
  2. Step 2: Convert to fraction form
    220.78/331.03 = 152.34/x
  3. Step 3: Cross multiply
    220.78x = 331.03 × 152.34
  4. Step 4: Simplify right side
    220.78x = 50,429.11
  5. Step 5: Solve for x
    x = 50,429.11/220.78
  6. Step 6: Final answer
    x = 228.41

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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.