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Finding the Fourth Proportional to 160.13, 220.97 and 90.20

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Solution

The fourth proportional to 160.13, 220.97 and 90.20 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 220.97 = 90.20 : x
  2. Step 2: Convert to fraction form
    160.13/220.97 = 90.20/x
  3. Step 3: Cross multiply
    160.13x = 220.97 × 90.20
  4. Step 4: Simplify right side
    160.13x = 19,929.94
  5. Step 5: Solve for x
    x = 19,929.94/160.13
  6. Step 6: Final answer
    x = 124.46

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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.