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Finding the Fourth Proportional to 390.02, 584.49 and 363.02

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Solution

The fourth proportional to 390.02, 584.49 and 363.02 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 584.49 = 363.02 : x
  2. Step 2: Convert to fraction form
    390.02/584.49 = 363.02/x
  3. Step 3: Cross multiply
    390.02x = 584.49 × 363.02
  4. Step 4: Simplify right side
    390.02x = 212,181.56
  5. Step 5: Solve for x
    x = 212,181.56/390.02
  6. Step 6: Final answer
    x = 544.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.