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Finding the Fourth Proportional to 363.44, 505.02 and 358.86

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Solution

The fourth proportional to 363.44, 505.02 and 358.86 is: 498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.44 : 505.02 = 358.86 : x
  2. Step 2: Convert to fraction form
    363.44/505.02 = 358.86/x
  3. Step 3: Cross multiply
    363.44x = 505.02 × 358.86
  4. Step 4: Simplify right side
    363.44x = 181,231.48
  5. Step 5: Solve for x
    x = 181,231.48/363.44
  6. Step 6: Final answer
    x = 498.66

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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.