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Finding the Fourth Proportional to 365.76, 503.34 and 353.88

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Solution

The fourth proportional to 365.76, 503.34 and 353.88 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 503.34 = 353.88 : x
  2. Step 2: Convert to fraction form
    365.76/503.34 = 353.88/x
  3. Step 3: Cross multiply
    365.76x = 503.34 × 353.88
  4. Step 4: Simplify right side
    365.76x = 178,121.96
  5. Step 5: Solve for x
    x = 178,121.96/365.76
  6. Step 6: Final answer
    x = 486.99

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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.