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Finding the Fourth Proportional to 260.48, 392.12 and 200.36

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Solution

The fourth proportional to 260.48, 392.12 and 200.36 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.48 : 392.12 = 200.36 : x
  2. Step 2: Convert to fraction form
    260.48/392.12 = 200.36/x
  3. Step 3: Cross multiply
    260.48x = 392.12 × 200.36
  4. Step 4: Simplify right side
    260.48x = 78,565.16
  5. Step 5: Solve for x
    x = 78,565.16/260.48
  6. Step 6: Final answer
    x = 301.62

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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.