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Finding the Fourth Proportional to 355.10, 531.64 and 224.78

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Solution

The fourth proportional to 355.10, 531.64 and 224.78 is: 336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 531.64 = 224.78 : x
  2. Step 2: Convert to fraction form
    355.10/531.64 = 224.78/x
  3. Step 3: Cross multiply
    355.10x = 531.64 × 224.78
  4. Step 4: Simplify right side
    355.10x = 119,502.04
  5. Step 5: Solve for x
    x = 119,502.04/355.10
  6. Step 6: Final answer
    x = 336.53

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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.