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Finding the Fourth Proportional to 280.51, 386.85 and 202.75

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Solution

The fourth proportional to 280.51, 386.85 and 202.75 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 386.85 = 202.75 : x
  2. Step 2: Convert to fraction form
    280.51/386.85 = 202.75/x
  3. Step 3: Cross multiply
    280.51x = 386.85 × 202.75
  4. Step 4: Simplify right side
    280.51x = 78,433.84
  5. Step 5: Solve for x
    x = 78,433.84/280.51
  6. Step 6: Final answer
    x = 279.61

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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.