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Finding the Fourth Proportional to 117.65, 175.26 and 110.18

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Solution

The fourth proportional to 117.65, 175.26 and 110.18 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 175.26 = 110.18 : x
  2. Step 2: Convert to fraction form
    117.65/175.26 = 110.18/x
  3. Step 3: Cross multiply
    117.65x = 175.26 × 110.18
  4. Step 4: Simplify right side
    117.65x = 19,310.01
  5. Step 5: Solve for x
    x = 19,310.01/117.65
  6. Step 6: Final answer
    x = 164.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.