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Finding the Fourth Proportional to 364.66, 499.86 and 364.05

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Solution

The fourth proportional to 364.66, 499.86 and 364.05 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 499.86 = 364.05 : x
  2. Step 2: Convert to fraction form
    364.66/499.86 = 364.05/x
  3. Step 3: Cross multiply
    364.66x = 499.86 × 364.05
  4. Step 4: Simplify right side
    364.66x = 181,974.03
  5. Step 5: Solve for x
    x = 181,974.03/364.66
  6. Step 6: Final answer
    x = 499.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.