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Finding the Fourth Proportional to 363.07, 499.53 and 313.86

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Solution

The fourth proportional to 363.07, 499.53 and 313.86 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.07 : 499.53 = 313.86 : x
  2. Step 2: Convert to fraction form
    363.07/499.53 = 313.86/x
  3. Step 3: Cross multiply
    363.07x = 499.53 × 313.86
  4. Step 4: Simplify right side
    363.07x = 156,782.49
  5. Step 5: Solve for x
    x = 156,782.49/363.07
  6. Step 6: Final answer
    x = 431.82

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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.