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Finding the Fourth Proportional to 352.64, 529.02 and 109.12

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Solution

The fourth proportional to 352.64, 529.02 and 109.12 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 529.02 = 109.12 : x
  2. Step 2: Convert to fraction form
    352.64/529.02 = 109.12/x
  3. Step 3: Cross multiply
    352.64x = 529.02 × 109.12
  4. Step 4: Simplify right side
    352.64x = 57,726.66
  5. Step 5: Solve for x
    x = 57,726.66/352.64
  6. Step 6: Final answer
    x = 163.70

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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.