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Finding the Fourth Proportional to 280.20, 386.66 and 202.76

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Solution

The fourth proportional to 280.20, 386.66 and 202.76 is: 279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 386.66 = 202.76 : x
  2. Step 2: Convert to fraction form
    280.20/386.66 = 202.76/x
  3. Step 3: Cross multiply
    280.20x = 386.66 × 202.76
  4. Step 4: Simplify right side
    280.20x = 78,399.18
  5. Step 5: Solve for x
    x = 78,399.18/280.20
  6. Step 6: Final answer
    x = 279.80

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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.