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Finding the Fourth Proportional to 160.26, 241.41 and 159.45

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Solution

The fourth proportional to 160.26, 241.41 and 159.45 is: 240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.26 : 241.41 = 159.45 : x
  2. Step 2: Convert to fraction form
    160.26/241.41 = 159.45/x
  3. Step 3: Cross multiply
    160.26x = 241.41 × 159.45
  4. Step 4: Simplify right side
    160.26x = 38,492.82
  5. Step 5: Solve for x
    x = 38,492.82/160.26
  6. Step 6: Final answer
    x = 240.19

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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.