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Finding the Fourth Proportional to 161.93, 241.59 and 147.32

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Solution

The fourth proportional to 161.93, 241.59 and 147.32 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 241.59 = 147.32 : x
  2. Step 2: Convert to fraction form
    161.93/241.59 = 147.32/x
  3. Step 3: Cross multiply
    161.93x = 241.59 × 147.32
  4. Step 4: Simplify right side
    161.93x = 35,589.83
  5. Step 5: Solve for x
    x = 35,589.83/161.93
  6. Step 6: Final answer
    x = 219.79

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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.