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Finding the Fourth Proportional to 465.46, 698.11 and 173.10

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Solution

The fourth proportional to 465.46, 698.11 and 173.10 is: 259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.46 : 698.11 = 173.10 : x
  2. Step 2: Convert to fraction form
    465.46/698.11 = 173.10/x
  3. Step 3: Cross multiply
    465.46x = 698.11 × 173.10
  4. Step 4: Simplify right side
    465.46x = 120,842.84
  5. Step 5: Solve for x
    x = 120,842.84/465.46
  6. Step 6: Final answer
    x = 259.62

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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.