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Finding the Fourth Proportional to 336.98, 505.17 and 213.98

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Solution

The fourth proportional to 336.98, 505.17 and 213.98 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.98 : 505.17 = 213.98 : x
  2. Step 2: Convert to fraction form
    336.98/505.17 = 213.98/x
  3. Step 3: Cross multiply
    336.98x = 505.17 × 213.98
  4. Step 4: Simplify right side
    336.98x = 108,093.75
  5. Step 5: Solve for x
    x = 108,093.75/336.98
  6. Step 6: Final answer
    x = 320.77

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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.