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Finding the Fourth Proportional to 392.50, 541.41 and 315.06

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Solution

The fourth proportional to 392.50, 541.41 and 315.06 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 541.41 = 315.06 : x
  2. Step 2: Convert to fraction form
    392.50/541.41 = 315.06/x
  3. Step 3: Cross multiply
    392.50x = 541.41 × 315.06
  4. Step 4: Simplify right side
    392.50x = 170,576.63
  5. Step 5: Solve for x
    x = 170,576.63/392.50
  6. Step 6: Final answer
    x = 434.59

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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.