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Finding the Fourth Proportional to 337.78, 507.09 and 221.87

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Solution

The fourth proportional to 337.78, 507.09 and 221.87 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 507.09 = 221.87 : x
  2. Step 2: Convert to fraction form
    337.78/507.09 = 221.87/x
  3. Step 3: Cross multiply
    337.78x = 507.09 × 221.87
  4. Step 4: Simplify right side
    337.78x = 112,506.08
  5. Step 5: Solve for x
    x = 112,506.08/337.78
  6. Step 6: Final answer
    x = 333.07

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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.