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Finding the Fourth Proportional to 221.78, 331.40 and 152.76

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Solution

The fourth proportional to 221.78, 331.40 and 152.76 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 331.40 = 152.76 : x
  2. Step 2: Convert to fraction form
    221.78/331.40 = 152.76/x
  3. Step 3: Cross multiply
    221.78x = 331.40 × 152.76
  4. Step 4: Simplify right side
    221.78x = 50,623.01
  5. Step 5: Solve for x
    x = 50,623.01/221.78
  6. Step 6: Final answer
    x = 228.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.