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Finding the Fourth Proportional to 161.55, 241.20 and 147.87

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Solution

The fourth proportional to 161.55, 241.20 and 147.87 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.55 : 241.20 = 147.87 : x
  2. Step 2: Convert to fraction form
    161.55/241.20 = 147.87/x
  3. Step 3: Cross multiply
    161.55x = 241.20 × 147.87
  4. Step 4: Simplify right side
    161.55x = 35,666.24
  5. Step 5: Solve for x
    x = 35,666.24/161.55
  6. Step 6: Final answer
    x = 220.78

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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.