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Finding the Fourth Proportional to 117.09, 160.84 and 101.49

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Solution

The fourth proportional to 117.09, 160.84 and 101.49 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 160.84 = 101.49 : x
  2. Step 2: Convert to fraction form
    117.09/160.84 = 101.49/x
  3. Step 3: Cross multiply
    117.09x = 160.84 × 101.49
  4. Step 4: Simplify right side
    117.09x = 16,323.65
  5. Step 5: Solve for x
    x = 16,323.65/117.09
  6. Step 6: Final answer
    x = 139.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.