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Finding the Fourth Proportional to 260.91, 362.47 and 258.53

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Solution

The fourth proportional to 260.91, 362.47 and 258.53 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.91 : 362.47 = 258.53 : x
  2. Step 2: Convert to fraction form
    260.91/362.47 = 258.53/x
  3. Step 3: Cross multiply
    260.91x = 362.47 × 258.53
  4. Step 4: Simplify right side
    260.91x = 93,709.37
  5. Step 5: Solve for x
    x = 93,709.37/260.91
  6. Step 6: Final answer
    x = 359.16

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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.