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Finding the Fourth Proportional to 160.14, 221.00 and 90.20

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Solution

The fourth proportional to 160.14, 221.00 and 90.20 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 221.00 = 90.20 : x
  2. Step 2: Convert to fraction form
    160.14/221.00 = 90.20/x
  3. Step 3: Cross multiply
    160.14x = 221.00 × 90.20
  4. Step 4: Simplify right side
    160.14x = 19,933.75
  5. Step 5: Solve for x
    x = 19,933.75/160.14
  6. Step 6: Final answer
    x = 124.48

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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.