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Finding the Fourth Proportional to 392.41, 586.18 and 334.36

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Solution

The fourth proportional to 392.41, 586.18 and 334.36 is: 499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 586.18 = 334.36 : x
  2. Step 2: Convert to fraction form
    392.41/586.18 = 334.36/x
  3. Step 3: Cross multiply
    392.41x = 586.18 × 334.36
  4. Step 4: Simplify right side
    392.41x = 195,995.14
  5. Step 5: Solve for x
    x = 195,995.14/392.41
  6. Step 6: Final answer
    x = 499.47

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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.