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Finding the Fourth Proportional to 280.28, 386.66 and 182.03

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Solution

The fourth proportional to 280.28, 386.66 and 182.03 is: 251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.28 : 386.66 = 182.03 : x
  2. Step 2: Convert to fraction form
    280.28/386.66 = 182.03/x
  3. Step 3: Cross multiply
    280.28x = 386.66 × 182.03
  4. Step 4: Simplify right side
    280.28x = 70,382.24
  5. Step 5: Solve for x
    x = 70,382.24/280.28
  6. Step 6: Final answer
    x = 251.11

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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.