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Finding the Fourth Proportional to 352.25, 528.45 and 287.09

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Solution

The fourth proportional to 352.25, 528.45 and 287.09 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.25 : 528.45 = 287.09 : x
  2. Step 2: Convert to fraction form
    352.25/528.45 = 287.09/x
  3. Step 3: Cross multiply
    352.25x = 528.45 × 287.09
  4. Step 4: Simplify right side
    352.25x = 151,712.71
  5. Step 5: Solve for x
    x = 151,712.71/352.25
  6. Step 6: Final answer
    x = 430.70

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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.