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Finding the Fourth Proportional to 355.96, 533.91 and 218.74

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Solution

The fourth proportional to 355.96, 533.91 and 218.74 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 533.91 = 218.74 : x
  2. Step 2: Convert to fraction form
    355.96/533.91 = 218.74/x
  3. Step 3: Cross multiply
    355.96x = 533.91 × 218.74
  4. Step 4: Simplify right side
    355.96x = 116,787.47
  5. Step 5: Solve for x
    x = 116,787.47/355.96
  6. Step 6: Final answer
    x = 328.09

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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.