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Finding the Fourth Proportional to 364.13, 505.99 and 360.38

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Solution

The fourth proportional to 364.13, 505.99 and 360.38 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 505.99 = 360.38 : x
  2. Step 2: Convert to fraction form
    364.13/505.99 = 360.38/x
  3. Step 3: Cross multiply
    364.13x = 505.99 × 360.38
  4. Step 4: Simplify right side
    364.13x = 182,349.38
  5. Step 5: Solve for x
    x = 182,349.38/364.13
  6. Step 6: Final answer
    x = 500.78

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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.