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Finding the Fourth Proportional to 260.13, 392.38 and 245.16

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Solution

The fourth proportional to 260.13, 392.38 and 245.16 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.13 : 392.38 = 245.16 : x
  2. Step 2: Convert to fraction form
    260.13/392.38 = 245.16/x
  3. Step 3: Cross multiply
    260.13x = 392.38 × 245.16
  4. Step 4: Simplify right side
    260.13x = 96,195.88
  5. Step 5: Solve for x
    x = 96,195.88/260.13
  6. Step 6: Final answer
    x = 369.80

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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.