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Finding the Fourth Proportional to 260.47, 361.86 and 258.09

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Solution

The fourth proportional to 260.47, 361.86 and 258.09 is: 358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.47 : 361.86 = 258.09 : x
  2. Step 2: Convert to fraction form
    260.47/361.86 = 258.09/x
  3. Step 3: Cross multiply
    260.47x = 361.86 × 258.09
  4. Step 4: Simplify right side
    260.47x = 93,393.61
  5. Step 5: Solve for x
    x = 93,393.61/260.47
  6. Step 6: Final answer
    x = 358.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.