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Finding the Fourth Proportional to 353.29, 487.57 and 265.81

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Solution

The fourth proportional to 353.29, 487.57 and 265.81 is: 366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.29 : 487.57 = 265.81 : x
  2. Step 2: Convert to fraction form
    353.29/487.57 = 265.81/x
  3. Step 3: Cross multiply
    353.29x = 487.57 × 265.81
  4. Step 4: Simplify right side
    353.29x = 129,600.98
  5. Step 5: Solve for x
    x = 129,600.98/353.29
  6. Step 6: Final answer
    x = 366.84

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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.