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Finding the Fourth Proportional to 397.12, 546.60 and 365.26

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Solution

The fourth proportional to 397.12, 546.60 and 365.26 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 546.60 = 365.26 : x
  2. Step 2: Convert to fraction form
    397.12/546.60 = 365.26/x
  3. Step 3: Cross multiply
    397.12x = 546.60 × 365.26
  4. Step 4: Simplify right side
    397.12x = 199,651.12
  5. Step 5: Solve for x
    x = 199,651.12/397.12
  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.