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Finding the Fourth Proportional to 280.32, 386.61 and 201.48

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Solution

The fourth proportional to 280.32, 386.61 and 201.48 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 386.61 = 201.48 : x
  2. Step 2: Convert to fraction form
    280.32/386.61 = 201.48/x
  3. Step 3: Cross multiply
    280.32x = 386.61 × 201.48
  4. Step 4: Simplify right side
    280.32x = 77,894.18
  5. Step 5: Solve for x
    x = 77,894.18/280.32
  6. Step 6: Final answer
    x = 277.88

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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.