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Finding the Fourth Proportional to 475.38, 657.25 and 365.22

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Solution

The fourth proportional to 475.38, 657.25 and 365.22 is: 504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.38 : 657.25 = 365.22 : x
  2. Step 2: Convert to fraction form
    475.38/657.25 = 365.22/x
  3. Step 3: Cross multiply
    475.38x = 657.25 × 365.22
  4. Step 4: Simplify right side
    475.38x = 240,039.93
  5. Step 5: Solve for x
    x = 240,039.93/475.38
  6. Step 6: Final answer
    x = 504.94

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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.