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Finding the Fourth Proportional to 263.53, 397.36 and 233.76

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Solution

The fourth proportional to 263.53, 397.36 and 233.76 is: 352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.53 : 397.36 = 233.76 : x
  2. Step 2: Convert to fraction form
    263.53/397.36 = 233.76/x
  3. Step 3: Cross multiply
    263.53x = 397.36 × 233.76
  4. Step 4: Simplify right side
    263.53x = 92,886.87
  5. Step 5: Solve for x
    x = 92,886.87/263.53
  6. Step 6: Final answer
    x = 352.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.