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Finding the Fourth Proportional to 352.50, 528.70 and 109.02

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Solution

The fourth proportional to 352.50, 528.70 and 109.02 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.50 : 528.70 = 109.02 : x
  2. Step 2: Convert to fraction form
    352.50/528.70 = 109.02/x
  3. Step 3: Cross multiply
    352.50x = 528.70 × 109.02
  4. Step 4: Simplify right side
    352.50x = 57,638.87
  5. Step 5: Solve for x
    x = 57,638.87/352.50
  6. Step 6: Final answer
    x = 163.51

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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.