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Finding the Fourth Proportional to 117.67, 175.64 and 104.16

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Solution

The fourth proportional to 117.67, 175.64 and 104.16 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.67 : 175.64 = 104.16 : x
  2. Step 2: Convert to fraction form
    117.67/175.64 = 104.16/x
  3. Step 3: Cross multiply
    117.67x = 175.64 × 104.16
  4. Step 4: Simplify right side
    117.67x = 18,294.66
  5. Step 5: Solve for x
    x = 18,294.66/117.67
  6. Step 6: Final answer
    x = 155.47

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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.