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Finding the Fourth Proportional to 355.20, 531.44 and 233.76

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Solution

The fourth proportional to 355.20, 531.44 and 233.76 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 531.44 = 233.76 : x
  2. Step 2: Convert to fraction form
    355.20/531.44 = 233.76/x
  3. Step 3: Cross multiply
    355.20x = 531.44 × 233.76
  4. Step 4: Simplify right side
    355.20x = 124,229.41
  5. Step 5: Solve for x
    x = 124,229.41/355.20
  6. Step 6: Final answer
    x = 349.74

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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.