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Finding the Fourth Proportional to 117.09, 174.60 and 116.07

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Solution

The fourth proportional to 117.09, 174.60 and 116.07 is: 173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 174.60 = 116.07 : x
  2. Step 2: Convert to fraction form
    117.09/174.60 = 116.07/x
  3. Step 3: Cross multiply
    117.09x = 174.60 × 116.07
  4. Step 4: Simplify right side
    117.09x = 20,265.17
  5. Step 5: Solve for x
    x = 20,265.17/117.09
  6. Step 6: Final answer
    x = 173.07

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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.