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Finding the Fourth Proportional to 116.86, 174.58 and 92.84

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Solution

The fourth proportional to 116.86, 174.58 and 92.84 is: 138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 174.58 = 92.84 : x
  2. Step 2: Convert to fraction form
    116.86/174.58 = 92.84/x
  3. Step 3: Cross multiply
    116.86x = 174.58 × 92.84
  4. Step 4: Simplify right side
    116.86x = 16,208.01
  5. Step 5: Solve for x
    x = 16,208.01/116.86
  6. Step 6: Final answer
    x = 138.70

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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.