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Finding the Fourth Proportional to 336.62, 505.26 and 213.36

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Solution

The fourth proportional to 336.62, 505.26 and 213.36 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.62 : 505.26 = 213.36 : x
  2. Step 2: Convert to fraction form
    336.62/505.26 = 213.36/x
  3. Step 3: Cross multiply
    336.62x = 505.26 × 213.36
  4. Step 4: Simplify right side
    336.62x = 107,802.27
  5. Step 5: Solve for x
    x = 107,802.27/336.62
  6. Step 6: Final answer
    x = 320.25

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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.