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Finding the Fourth Proportional to 160.29, 241.88 and 154.57

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Solution

The fourth proportional to 160.29, 241.88 and 154.57 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.29 : 241.88 = 154.57 : x
  2. Step 2: Convert to fraction form
    160.29/241.88 = 154.57/x
  3. Step 3: Cross multiply
    160.29x = 241.88 × 154.57
  4. Step 4: Simplify right side
    160.29x = 37,387.39
  5. Step 5: Solve for x
    x = 37,387.39/160.29
  6. Step 6: Final answer
    x = 233.25

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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.