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Finding the Fourth Proportional to 161.49, 221.54 and 147.83

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Solution

The fourth proportional to 161.49, 221.54 and 147.83 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.49 : 221.54 = 147.83 : x
  2. Step 2: Convert to fraction form
    161.49/221.54 = 147.83/x
  3. Step 3: Cross multiply
    161.49x = 221.54 × 147.83
  4. Step 4: Simplify right side
    161.49x = 32,748.41
  5. Step 5: Solve for x
    x = 32,748.41/161.49
  6. Step 6: Final answer
    x = 202.78

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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.