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Finding the Fourth Proportional to 334.17, 500.72 and 169.49

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Solution

The fourth proportional to 334.17, 500.72 and 169.49 is: 253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.17 : 500.72 = 169.49 : x
  2. Step 2: Convert to fraction form
    334.17/500.72 = 169.49/x
  3. Step 3: Cross multiply
    334.17x = 500.72 × 169.49
  4. Step 4: Simplify right side
    334.17x = 84,864.53
  5. Step 5: Solve for x
    x = 84,864.53/334.17
  6. Step 6: Final answer
    x = 253.96

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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.