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Finding the Fourth Proportional to 336.23, 504.35 and 221.41

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Solution

The fourth proportional to 336.23, 504.35 and 221.41 is: 332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.23 : 504.35 = 221.41 : x
  2. Step 2: Convert to fraction form
    336.23/504.35 = 221.41/x
  3. Step 3: Cross multiply
    336.23x = 504.35 × 221.41
  4. Step 4: Simplify right side
    336.23x = 111,668.13
  5. Step 5: Solve for x
    x = 111,668.13/336.23
  6. Step 6: Final answer
    x = 332.12

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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.