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Finding the Fourth Proportional to 260.32, 388.16 and 247.72

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Solution

The fourth proportional to 260.32, 388.16 and 247.72 is: 369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 388.16 = 247.72 : x
  2. Step 2: Convert to fraction form
    260.32/388.16 = 247.72/x
  3. Step 3: Cross multiply
    260.32x = 388.16 × 247.72
  4. Step 4: Simplify right side
    260.32x = 96,155.00
  5. Step 5: Solve for x
    x = 96,155.00/260.32
  6. Step 6: Final answer
    x = 369.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.