Home / 160.24-221.01-101.17

Finding the Fourth Proportional to 160.24, 221.01 and 101.17

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Solution

The fourth proportional to 160.24, 221.01 and 101.17 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 221.01 = 101.17 : x
  2. Step 2: Convert to fraction form
    160.24/221.01 = 101.17/x
  3. Step 3: Cross multiply
    160.24x = 221.01 × 101.17
  4. Step 4: Simplify right side
    160.24x = 22,359.58
  5. Step 5: Solve for x
    x = 22,359.58/160.24
  6. Step 6: Final answer
    x = 139.54

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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.