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Finding the Fourth Proportional to 160.39, 220.80 and 139.65

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Solution

The fourth proportional to 160.39, 220.80 and 139.65 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.39 : 220.80 = 139.65 : x
  2. Step 2: Convert to fraction form
    160.39/220.80 = 139.65/x
  3. Step 3: Cross multiply
    160.39x = 220.80 × 139.65
  4. Step 4: Simplify right side
    160.39x = 30,834.72
  5. Step 5: Solve for x
    x = 30,834.72/160.39
  6. Step 6: Final answer
    x = 192.25

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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.