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Finding the Fourth Proportional to 161.52, 241.02 and 148.56

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Solution

The fourth proportional to 161.52, 241.02 and 148.56 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.52 : 241.02 = 148.56 : x
  2. Step 2: Convert to fraction form
    161.52/241.02 = 148.56/x
  3. Step 3: Cross multiply
    161.52x = 241.02 × 148.56
  4. Step 4: Simplify right side
    161.52x = 35,805.93
  5. Step 5: Solve for x
    x = 35,805.93/161.52
  6. Step 6: Final answer
    x = 221.68

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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.