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Finding the Fourth Proportional to 161.64, 241.49 and 160.74

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Solution

The fourth proportional to 161.64, 241.49 and 160.74 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.64 : 241.49 = 160.74 : x
  2. Step 2: Convert to fraction form
    161.64/241.49 = 160.74/x
  3. Step 3: Cross multiply
    161.64x = 241.49 × 160.74
  4. Step 4: Simplify right side
    161.64x = 38,816.30
  5. Step 5: Solve for x
    x = 38,816.30/161.64
  6. Step 6: Final answer
    x = 240.14

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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.