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Finding the Fourth Proportional to 397.32, 544.26 and 393

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Solution

The fourth proportional to 397.32, 544.26 and 393 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 544.26 = 393 : x
  2. Step 2: Convert to fraction form
    397.32/544.26 = 393/x
  3. Step 3: Cross multiply
    397.32x = 544.26 × 393
  4. Step 4: Simplify right side
    397.32x = 213,894.18
  5. Step 5: Solve for x
    x = 213,894.18/397.32
  6. Step 6: Final answer
    x = 538.34

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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.