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Finding the Fourth Proportional to 352.42, 528.64 and 135.86

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Solution

The fourth proportional to 352.42, 528.64 and 135.86 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.42 : 528.64 = 135.86 : x
  2. Step 2: Convert to fraction form
    352.42/528.64 = 135.86/x
  3. Step 3: Cross multiply
    352.42x = 528.64 × 135.86
  4. Step 4: Simplify right side
    352.42x = 71,818.05
  5. Step 5: Solve for x
    x = 71,818.05/352.42
  6. Step 6: Final answer
    x = 203.79

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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.