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Finding the Fourth Proportional to 392.40, 584.99 and 361.58

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Solution

The fourth proportional to 392.40, 584.99 and 361.58 is: 539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 584.99 = 361.58 : x
  2. Step 2: Convert to fraction form
    392.40/584.99 = 361.58/x
  3. Step 3: Cross multiply
    392.40x = 584.99 × 361.58
  4. Step 4: Simplify right side
    392.40x = 211,515.95
  5. Step 5: Solve for x
    x = 211,515.95/392.40
  6. Step 6: Final answer
    x = 539.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.