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Finding the Fourth Proportional to 392.61, 589.94 and 335.20

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Solution

The fourth proportional to 392.61, 589.94 and 335.20 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 589.94 = 335.20 : x
  2. Step 2: Convert to fraction form
    392.61/589.94 = 335.20/x
  3. Step 3: Cross multiply
    392.61x = 589.94 × 335.20
  4. Step 4: Simplify right side
    392.61x = 197,747.89
  5. Step 5: Solve for x
    x = 197,747.89/392.61
  6. Step 6: Final answer
    x = 503.68

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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.