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Finding the Fourth Proportional to 385.37, 531.78 and 219.56

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Solution

The fourth proportional to 385.37, 531.78 and 219.56 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.37 : 531.78 = 219.56 : x
  2. Step 2: Convert to fraction form
    385.37/531.78 = 219.56/x
  3. Step 3: Cross multiply
    385.37x = 531.78 × 219.56
  4. Step 4: Simplify right side
    385.37x = 116,758.36
  5. Step 5: Solve for x
    x = 116,758.36/385.37
  6. Step 6: Final answer
    x = 302.97

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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.