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Finding the Fourth Proportional to 384.15, 575.49 and 221.34

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Solution

The fourth proportional to 384.15, 575.49 and 221.34 is: 331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 575.49 = 221.34 : x
  2. Step 2: Convert to fraction form
    384.15/575.49 = 221.34/x
  3. Step 3: Cross multiply
    384.15x = 575.49 × 221.34
  4. Step 4: Simplify right side
    384.15x = 127,378.96
  5. Step 5: Solve for x
    x = 127,378.96/384.15
  6. Step 6: Final answer
    x = 331.59

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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.