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Finding the Fourth Proportional to 397.05, 548.01 and 364.26

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Solution

The fourth proportional to 397.05, 548.01 and 364.26 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.05 : 548.01 = 364.26 : x
  2. Step 2: Convert to fraction form
    397.05/548.01 = 364.26/x
  3. Step 3: Cross multiply
    397.05x = 548.01 × 364.26
  4. Step 4: Simplify right side
    397.05x = 199,618.12
  5. Step 5: Solve for x
    x = 199,618.12/397.05
  6. Step 6: Final answer
    x = 502.75

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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.