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Finding the Fourth Proportional to 392.88, 586.44 and 360.42

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Solution

The fourth proportional to 392.88, 586.44 and 360.42 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 586.44 = 360.42 : x
  2. Step 2: Convert to fraction form
    392.88/586.44 = 360.42/x
  3. Step 3: Cross multiply
    392.88x = 586.44 × 360.42
  4. Step 4: Simplify right side
    392.88x = 211,364.70
  5. Step 5: Solve for x
    x = 211,364.70/392.88
  6. Step 6: Final answer
    x = 537.99

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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.