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Finding the Fourth Proportional to 334.15, 500.31 and 171.49

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Solution

The fourth proportional to 334.15, 500.31 and 171.49 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 500.31 = 171.49 : x
  2. Step 2: Convert to fraction form
    334.15/500.31 = 171.49/x
  3. Step 3: Cross multiply
    334.15x = 500.31 × 171.49
  4. Step 4: Simplify right side
    334.15x = 85,798.16
  5. Step 5: Solve for x
    x = 85,798.16/334.15
  6. Step 6: Final answer
    x = 256.77

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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.