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Finding the Fourth Proportional to 392.40, 539.08 and 351.50

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Solution

The fourth proportional to 392.40, 539.08 and 351.50 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 539.08 = 351.50 : x
  2. Step 2: Convert to fraction form
    392.40/539.08 = 351.50/x
  3. Step 3: Cross multiply
    392.40x = 539.08 × 351.50
  4. Step 4: Simplify right side
    392.40x = 189,486.62
  5. Step 5: Solve for x
    x = 189,486.62/392.40
  6. Step 6: Final answer
    x = 482.89

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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.