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Finding the Fourth Proportional to 262.19, 393.30 and 224.13

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Solution

The fourth proportional to 262.19, 393.30 and 224.13 is: 336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.19 : 393.30 = 224.13 : x
  2. Step 2: Convert to fraction form
    262.19/393.30 = 224.13/x
  3. Step 3: Cross multiply
    262.19x = 393.30 × 224.13
  4. Step 4: Simplify right side
    262.19x = 88,150.33
  5. Step 5: Solve for x
    x = 88,150.33/262.19
  6. Step 6: Final answer
    x = 336.21

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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.