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Finding the Fourth Proportional to 392.15, 588.02 and 209.50

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Solution

The fourth proportional to 392.15, 588.02 and 209.50 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.15 : 588.02 = 209.50 : x
  2. Step 2: Convert to fraction form
    392.15/588.02 = 209.50/x
  3. Step 3: Cross multiply
    392.15x = 588.02 × 209.50
  4. Step 4: Simplify right side
    392.15x = 123,187.67
  5. Step 5: Solve for x
    x = 123,187.67/392.15
  6. Step 6: Final answer
    x = 314.13

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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.