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Finding the Fourth Proportional to 280.74, 386.13 and 225.35

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Solution

The fourth proportional to 280.74, 386.13 and 225.35 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 386.13 = 225.35 : x
  2. Step 2: Convert to fraction form
    280.74/386.13 = 225.35/x
  3. Step 3: Cross multiply
    280.74x = 386.13 × 225.35
  4. Step 4: Simplify right side
    280.74x = 87,016.93
  5. Step 5: Solve for x
    x = 87,016.93/280.74
  6. Step 6: Final answer
    x = 309.96

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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.