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Finding the Fourth Proportional to 354.80, 531.70 and 224.48

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Solution

The fourth proportional to 354.80, 531.70 and 224.48 is: 336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.80 : 531.70 = 224.48 : x
  2. Step 2: Convert to fraction form
    354.80/531.70 = 224.48/x
  3. Step 3: Cross multiply
    354.80x = 531.70 × 224.48
  4. Step 4: Simplify right side
    354.80x = 119,356.02
  5. Step 5: Solve for x
    x = 119,356.02/354.80
  6. Step 6: Final answer
    x = 336.40

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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.