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Finding the Fourth Proportional to 263.28, 393.32 and 233.17

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Solution

The fourth proportional to 263.28, 393.32 and 233.17 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 393.32 = 233.17 : x
  2. Step 2: Convert to fraction form
    263.28/393.32 = 233.17/x
  3. Step 3: Cross multiply
    263.28x = 393.32 × 233.17
  4. Step 4: Simplify right side
    263.28x = 91,710.42
  5. Step 5: Solve for x
    x = 91,710.42/263.28
  6. Step 6: Final answer
    x = 348.34

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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.