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Finding the Fourth Proportional to 392.45, 541.23 and 261.50

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Solution

The fourth proportional to 392.45, 541.23 and 261.50 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 541.23 = 261.50 : x
  2. Step 2: Convert to fraction form
    392.45/541.23 = 261.50/x
  3. Step 3: Cross multiply
    392.45x = 541.23 × 261.50
  4. Step 4: Simplify right side
    392.45x = 141,531.65
  5. Step 5: Solve for x
    x = 141,531.65/392.45
  6. Step 6: Final answer
    x = 360.64

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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.