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Finding the Fourth Proportional to 334.21, 500.64 and 171.67

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Solution

The fourth proportional to 334.21, 500.64 and 171.67 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.21 : 500.64 = 171.67 : x
  2. Step 2: Convert to fraction form
    334.21/500.64 = 171.67/x
  3. Step 3: Cross multiply
    334.21x = 500.64 × 171.67
  4. Step 4: Simplify right side
    334.21x = 85,944.87
  5. Step 5: Solve for x
    x = 85,944.87/334.21
  6. Step 6: Final answer
    x = 257.16

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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.