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Finding the Fourth Proportional to 392.54, 589.30 and 335.13

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Solution

The fourth proportional to 392.54, 589.30 and 335.13 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 589.30 = 335.13 : x
  2. Step 2: Convert to fraction form
    392.54/589.30 = 335.13/x
  3. Step 3: Cross multiply
    392.54x = 589.30 × 335.13
  4. Step 4: Simplify right side
    392.54x = 197,491.66
  5. Step 5: Solve for x
    x = 197,491.66/392.54
  6. Step 6: Final answer
    x = 503.11

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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.