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Finding the Fourth Proportional to 356.62, 533.72 and 219.76

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Solution

The fourth proportional to 356.62, 533.72 and 219.76 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 533.72 = 219.76 : x
  2. Step 2: Convert to fraction form
    356.62/533.72 = 219.76/x
  3. Step 3: Cross multiply
    356.62x = 533.72 × 219.76
  4. Step 4: Simplify right side
    356.62x = 117,290.31
  5. Step 5: Solve for x
    x = 117,290.31/356.62
  6. Step 6: Final answer
    x = 328.89

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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.