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Finding the Fourth Proportional to 260.58, 358.52 and 258.90

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Solution

The fourth proportional to 260.58, 358.52 and 258.90 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 358.52 = 258.90 : x
  2. Step 2: Convert to fraction form
    260.58/358.52 = 258.90/x
  3. Step 3: Cross multiply
    260.58x = 358.52 × 258.90
  4. Step 4: Simplify right side
    260.58x = 92,820.83
  5. Step 5: Solve for x
    x = 92,820.83/260.58
  6. Step 6: Final answer
    x = 356.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.