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Finding the Fourth Proportional to 389.54, 587.24 and 363.12

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Solution

The fourth proportional to 389.54, 587.24 and 363.12 is: 547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.54 : 587.24 = 363.12 : x
  2. Step 2: Convert to fraction form
    389.54/587.24 = 363.12/x
  3. Step 3: Cross multiply
    389.54x = 587.24 × 363.12
  4. Step 4: Simplify right side
    389.54x = 213,235.93
  5. Step 5: Solve for x
    x = 213,235.93/389.54
  6. Step 6: Final answer
    x = 547.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.