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Finding the Fourth Proportional to 160.28, 241.64 and 149.84

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Solution

The fourth proportional to 160.28, 241.64 and 149.84 is: 225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.28 : 241.64 = 149.84 : x
  2. Step 2: Convert to fraction form
    160.28/241.64 = 149.84/x
  3. Step 3: Cross multiply
    160.28x = 241.64 × 149.84
  4. Step 4: Simplify right side
    160.28x = 36,207.34
  5. Step 5: Solve for x
    x = 36,207.34/160.28
  6. Step 6: Final answer
    x = 225.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.