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Finding the Fourth Proportional to 338.91, 508.53 and 202.22

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Solution

The fourth proportional to 338.91, 508.53 and 202.22 is: 303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 508.53 = 202.22 : x
  2. Step 2: Convert to fraction form
    338.91/508.53 = 202.22/x
  3. Step 3: Cross multiply
    338.91x = 508.53 × 202.22
  4. Step 4: Simplify right side
    338.91x = 102,834.94
  5. Step 5: Solve for x
    x = 102,834.94/338.91
  6. Step 6: Final answer
    x = 303.43

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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.