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Finding the Fourth Proportional to 353.58, 528.56 and 261.42

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Solution

The fourth proportional to 353.58, 528.56 and 261.42 is: 390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.58 : 528.56 = 261.42 : x
  2. Step 2: Convert to fraction form
    353.58/528.56 = 261.42/x
  3. Step 3: Cross multiply
    353.58x = 528.56 × 261.42
  4. Step 4: Simplify right side
    353.58x = 138,174.85
  5. Step 5: Solve for x
    x = 138,174.85/353.58
  6. Step 6: Final answer
    x = 390.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.