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Finding the Fourth Proportional to 352.82, 528.18 and 242.90

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Solution

The fourth proportional to 352.82, 528.18 and 242.90 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.82 : 528.18 = 242.90 : x
  2. Step 2: Convert to fraction form
    352.82/528.18 = 242.90/x
  3. Step 3: Cross multiply
    352.82x = 528.18 × 242.90
  4. Step 4: Simplify right side
    352.82x = 128,294.92
  5. Step 5: Solve for x
    x = 128,294.92/352.82
  6. Step 6: Final answer
    x = 363.63

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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.