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Finding the Fourth Proportional to 352.38, 486.36 and 294.06

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Solution

The fourth proportional to 352.38, 486.36 and 294.06 is: 405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.38 : 486.36 = 294.06 : x
  2. Step 2: Convert to fraction form
    352.38/486.36 = 294.06/x
  3. Step 3: Cross multiply
    352.38x = 486.36 × 294.06
  4. Step 4: Simplify right side
    352.38x = 143,019.02
  5. Step 5: Solve for x
    x = 143,019.02/352.38
  6. Step 6: Final answer
    x = 405.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.