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Finding the Fourth Proportional to 263.48, 393.12 and 224.52

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Solution

The fourth proportional to 263.48, 393.12 and 224.52 is: 334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.48 : 393.12 = 224.52 : x
  2. Step 2: Convert to fraction form
    263.48/393.12 = 224.52/x
  3. Step 3: Cross multiply
    263.48x = 393.12 × 224.52
  4. Step 4: Simplify right side
    263.48x = 88,263.09
  5. Step 5: Solve for x
    x = 88,263.09/263.48
  6. Step 6: Final answer
    x = 334.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.