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Finding the Fourth Proportional to 353.11, 486.12 and 265.63

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Solution

The fourth proportional to 353.11, 486.12 and 265.63 is: 365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.11 : 486.12 = 265.63 : x
  2. Step 2: Convert to fraction form
    353.11/486.12 = 265.63/x
  3. Step 3: Cross multiply
    353.11x = 486.12 × 265.63
  4. Step 4: Simplify right side
    353.11x = 129,128.06
  5. Step 5: Solve for x
    x = 129,128.06/353.11
  6. Step 6: Final answer
    x = 365.69

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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.