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Finding the Fourth Proportional to 397.36, 547.10 and 360.91

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Solution

The fourth proportional to 397.36, 547.10 and 360.91 is: 496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.36 : 547.10 = 360.91 : x
  2. Step 2: Convert to fraction form
    397.36/547.10 = 360.91/x
  3. Step 3: Cross multiply
    397.36x = 547.10 × 360.91
  4. Step 4: Simplify right side
    397.36x = 197,451.13
  5. Step 5: Solve for x
    x = 197,451.13/397.36
  6. Step 6: Final answer
    x = 496.91

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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.