Home / 160.16-221.27-137.09

Finding the Fourth Proportional to 160.16, 221.27 and 137.09

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Solution

The fourth proportional to 160.16, 221.27 and 137.09 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221.27 = 137.09 : x
  2. Step 2: Convert to fraction form
    160.16/221.27 = 137.09/x
  3. Step 3: Cross multiply
    160.16x = 221.27 × 137.09
  4. Step 4: Simplify right side
    160.16x = 30,332.11
  5. Step 5: Solve for x
    x = 30,332.11/160.16
  6. Step 6: Final answer
    x = 189.39

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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.