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Finding the Fourth Proportional to 117.55, 177.35 and 110.26

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Solution

The fourth proportional to 117.55, 177.35 and 110.26 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.55 : 177.35 = 110.26 : x
  2. Step 2: Convert to fraction form
    117.55/177.35 = 110.26/x
  3. Step 3: Cross multiply
    117.55x = 177.35 × 110.26
  4. Step 4: Simplify right side
    117.55x = 19,555.06
  5. Step 5: Solve for x
    x = 19,555.06/117.55
  6. Step 6: Final answer
    x = 166.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.