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Finding the Fourth Proportional to 335.98, 503.66 and 171.34

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Solution

The fourth proportional to 335.98, 503.66 and 171.34 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.98 : 503.66 = 171.34 : x
  2. Step 2: Convert to fraction form
    335.98/503.66 = 171.34/x
  3. Step 3: Cross multiply
    335.98x = 503.66 × 171.34
  4. Step 4: Simplify right side
    335.98x = 86,297.10
  5. Step 5: Solve for x
    x = 86,297.10/335.98
  6. Step 6: Final answer
    x = 256.85

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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.