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Finding the Fourth Proportional to 280.11, 386.86 and 187.25

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Solution

The fourth proportional to 280.11, 386.86 and 187.25 is: 258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 386.86 = 187.25 : x
  2. Step 2: Convert to fraction form
    280.11/386.86 = 187.25/x
  3. Step 3: Cross multiply
    280.11x = 386.86 × 187.25
  4. Step 4: Simplify right side
    280.11x = 72,439.66
  5. Step 5: Solve for x
    x = 72,439.66/280.11
  6. Step 6: Final answer
    x = 258.61

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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.