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Finding the Fourth Proportional to 337.50, 465.84 and 221.22

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Solution

The fourth proportional to 337.50, 465.84 and 221.22 is: 305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 465.84 = 221.22 : x
  2. Step 2: Convert to fraction form
    337.50/465.84 = 221.22/x
  3. Step 3: Cross multiply
    337.50x = 465.84 × 221.22
  4. Step 4: Simplify right side
    337.50x = 103,053.12
  5. Step 5: Solve for x
    x = 103,053.12/337.50
  6. Step 6: Final answer
    x = 305.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.