Home / 160.20-220.77-123.30

Finding the Fourth Proportional to 160.20, 220.77 and 123.30

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Solution

The fourth proportional to 160.20, 220.77 and 123.30 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 220.77 = 123.30 : x
  2. Step 2: Convert to fraction form
    160.20/220.77 = 123.30/x
  3. Step 3: Cross multiply
    160.20x = 220.77 × 123.30
  4. Step 4: Simplify right side
    160.20x = 27,220.94
  5. Step 5: Solve for x
    x = 27,220.94/160.20
  6. Step 6: Final answer
    x = 169.92

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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.