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Finding the Fourth Proportional to 260.20, 392.47 and 260.20

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Solution

The fourth proportional to 260.20, 392.47 and 260.20 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.20 : 392.47 = 260.20 : x
  2. Step 2: Convert to fraction form
    260.20/392.47 = 260.20/x
  3. Step 3: Cross multiply
    260.20x = 392.47 × 260.20
  4. Step 4: Simplify right side
    260.20x = 102,120.69
  5. Step 5: Solve for x
    x = 102,120.69/260.20
  6. Step 6: Final answer
    x = 392.47

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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.