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Finding the Fourth Proportional to 355.34, 533.82 and 278.42

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Solution

The fourth proportional to 355.34, 533.82 and 278.42 is: 418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 533.82 = 278.42 : x
  2. Step 2: Convert to fraction form
    355.34/533.82 = 278.42/x
  3. Step 3: Cross multiply
    355.34x = 533.82 × 278.42
  4. Step 4: Simplify right side
    355.34x = 148,626.16
  5. Step 5: Solve for x
    x = 148,626.16/355.34
  6. Step 6: Final answer
    x = 418.26

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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.