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Finding the Fourth Proportional to 353.76, 485.57 and 338.72

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Solution

The fourth proportional to 353.76, 485.57 and 338.72 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.76 : 485.57 = 338.72 : x
  2. Step 2: Convert to fraction form
    353.76/485.57 = 338.72/x
  3. Step 3: Cross multiply
    353.76x = 485.57 × 338.72
  4. Step 4: Simplify right side
    353.76x = 164,472.27
  5. Step 5: Solve for x
    x = 164,472.27/353.76
  6. Step 6: Final answer
    x = 464.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.