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Finding the Fourth Proportional to 259.12, 386.78 and 225.12

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Solution

The fourth proportional to 259.12, 386.78 and 225.12 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 386.78 = 225.12 : x
  2. Step 2: Convert to fraction form
    259.12/386.78 = 225.12/x
  3. Step 3: Cross multiply
    259.12x = 386.78 × 225.12
  4. Step 4: Simplify right side
    259.12x = 87,071.91
  5. Step 5: Solve for x
    x = 87,071.91/259.12
  6. Step 6: Final answer
    x = 336.03

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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.