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Finding the Fourth Proportional to 392.51, 541.73 and 259.73

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Solution

The fourth proportional to 392.51, 541.73 and 259.73 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.51 : 541.73 = 259.73 : x
  2. Step 2: Convert to fraction form
    392.51/541.73 = 259.73/x
  3. Step 3: Cross multiply
    392.51x = 541.73 × 259.73
  4. Step 4: Simplify right side
    392.51x = 140,704.81
  5. Step 5: Solve for x
    x = 140,704.81/392.51
  6. Step 6: Final answer
    x = 358.48

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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.