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Finding the Fourth Proportional to 353.64, 491.04 and 350.76

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Solution

The fourth proportional to 353.64, 491.04 and 350.76 is: 487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.64 : 491.04 = 350.76 : x
  2. Step 2: Convert to fraction form
    353.64/491.04 = 350.76/x
  3. Step 3: Cross multiply
    353.64x = 491.04 × 350.76
  4. Step 4: Simplify right side
    353.64x = 172,237.19
  5. Step 5: Solve for x
    x = 172,237.19/353.64
  6. Step 6: Final answer
    x = 487.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.