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Finding the Fourth Proportional to 352.60, 528.80 and 215.14

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Solution

The fourth proportional to 352.60, 528.80 and 215.14 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 528.80 = 215.14 : x
  2. Step 2: Convert to fraction form
    352.60/528.80 = 215.14/x
  3. Step 3: Cross multiply
    352.60x = 528.80 × 215.14
  4. Step 4: Simplify right side
    352.60x = 113,766.03
  5. Step 5: Solve for x
    x = 113,766.03/352.60
  6. Step 6: Final answer
    x = 322.65

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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.