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Finding the Fourth Proportional to 173.86, 260.76 and 45.61

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Solution

The fourth proportional to 173.86, 260.76 and 45.61 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 260.76 = 45.61 : x
  2. Step 2: Convert to fraction form
    173.86/260.76 = 45.61/x
  3. Step 3: Cross multiply
    173.86x = 260.76 × 45.61
  4. Step 4: Simplify right side
    173.86x = 11,891.96
  5. Step 5: Solve for x
    x = 11,891.96/173.86
  6. Step 6: Final answer
    x = 68.40

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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.