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Finding the Fourth Proportional to 392.06, 540.80 and 259.28

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Solution

The fourth proportional to 392.06, 540.80 and 259.28 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 540.80 = 259.28 : x
  2. Step 2: Convert to fraction form
    392.06/540.80 = 259.28/x
  3. Step 3: Cross multiply
    392.06x = 540.80 × 259.28
  4. Step 4: Simplify right side
    392.06x = 140,215.27
  5. Step 5: Solve for x
    x = 140,215.27/392.06
  6. Step 6: Final answer
    x = 357.64

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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.