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Finding the Fourth Proportional to 352.68, 528.90 and 105.81

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Solution

The fourth proportional to 352.68, 528.90 and 105.81 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.68 : 528.90 = 105.81 : x
  2. Step 2: Convert to fraction form
    352.68/528.90 = 105.81/x
  3. Step 3: Cross multiply
    352.68x = 528.90 × 105.81
  4. Step 4: Simplify right side
    352.68x = 55,962.91
  5. Step 5: Solve for x
    x = 55,962.91/352.68
  6. Step 6: Final answer
    x = 158.68

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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.