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Finding the Fourth Proportional to 160.11, 220.94 and 90.17

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Solution

The fourth proportional to 160.11, 220.94 and 90.17 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.11 : 220.94 = 90.17 : x
  2. Step 2: Convert to fraction form
    160.11/220.94 = 90.17/x
  3. Step 3: Cross multiply
    160.11x = 220.94 × 90.17
  4. Step 4: Simplify right side
    160.11x = 19,921.06
  5. Step 5: Solve for x
    x = 19,921.06/160.11
  6. Step 6: Final answer
    x = 124.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.