Home / 160.16-221.07-123.27

Finding the Fourth Proportional to 160.16, 221.07 and 123.27

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Solution

The fourth proportional to 160.16, 221.07 and 123.27 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221.07 = 123.27 : x
  2. Step 2: Convert to fraction form
    160.16/221.07 = 123.27/x
  3. Step 3: Cross multiply
    160.16x = 221.07 × 123.27
  4. Step 4: Simplify right side
    160.16x = 27,251.30
  5. Step 5: Solve for x
    x = 27,251.30/160.16
  6. Step 6: Final answer
    x = 170.16

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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.