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Finding the Fourth Proportional to 352.33, 528.21 and 275.06

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Solution

The fourth proportional to 352.33, 528.21 and 275.06 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.33 : 528.21 = 275.06 : x
  2. Step 2: Convert to fraction form
    352.33/528.21 = 275.06/x
  3. Step 3: Cross multiply
    352.33x = 528.21 × 275.06
  4. Step 4: Simplify right side
    352.33x = 145,291.11
  5. Step 5: Solve for x
    x = 145,291.11/352.33
  6. Step 6: Final answer
    x = 412.37

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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.