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Finding the Fourth Proportional to 260.58, 361.98 and 258.08

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Solution

The fourth proportional to 260.58, 361.98 and 258.08 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 361.98 = 258.08 : x
  2. Step 2: Convert to fraction form
    260.58/361.98 = 258.08/x
  3. Step 3: Cross multiply
    260.58x = 361.98 × 258.08
  4. Step 4: Simplify right side
    260.58x = 93,418.51
  5. Step 5: Solve for x
    x = 93,418.51/260.58
  6. Step 6: Final answer
    x = 358.50

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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.