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Finding the Fourth Proportional to 392.42, 541.29 and 299

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Solution

The fourth proportional to 392.42, 541.29 and 299 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 541.29 = 299 : x
  2. Step 2: Convert to fraction form
    392.42/541.29 = 299/x
  3. Step 3: Cross multiply
    392.42x = 541.29 × 299
  4. Step 4: Simplify right side
    392.42x = 161,845.71
  5. Step 5: Solve for x
    x = 161,845.71/392.42
  6. Step 6: Final answer
    x = 412.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.