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Finding the Fourth Proportional to 258.80, 386.72 and 225.86

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Solution

The fourth proportional to 258.80, 386.72 and 225.86 is: 337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 386.72 = 225.86 : x
  2. Step 2: Convert to fraction form
    258.80/386.72 = 225.86/x
  3. Step 3: Cross multiply
    258.80x = 386.72 × 225.86
  4. Step 4: Simplify right side
    258.80x = 87,344.58
  5. Step 5: Solve for x
    x = 87,344.58/258.80
  6. Step 6: Final answer
    x = 337.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.