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Finding the Fourth Proportional to 259.94, 392.86 and 255.46

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Solution

The fourth proportional to 259.94, 392.86 and 255.46 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 392.86 = 255.46 : x
  2. Step 2: Convert to fraction form
    259.94/392.86 = 255.46/x
  3. Step 3: Cross multiply
    259.94x = 392.86 × 255.46
  4. Step 4: Simplify right side
    259.94x = 100,360.02
  5. Step 5: Solve for x
    x = 100,360.02/259.94
  6. Step 6: Final answer
    x = 386.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.