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Finding the Fourth Proportional to 660.86, 991.27 and 173.90

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Solution

The fourth proportional to 660.86, 991.27 and 173.90 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 991.27 = 173.90 : x
  2. Step 2: Convert to fraction form
    660.86/991.27 = 173.90/x
  3. Step 3: Cross multiply
    660.86x = 991.27 × 173.90
  4. Step 4: Simplify right side
    660.86x = 172,383.90
  5. Step 5: Solve for x
    x = 172,383.90/660.86
  6. Step 6: Final answer
    x = 260.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.