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Finding the Fourth Proportional to 215.87, 298.01 and 202.06

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Solution

The fourth proportional to 215.87, 298.01 and 202.06 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.87 : 298.01 = 202.06 : x
  2. Step 2: Convert to fraction form
    215.87/298.01 = 202.06/x
  3. Step 3: Cross multiply
    215.87x = 298.01 × 202.06
  4. Step 4: Simplify right side
    215.87x = 60,213.40
  5. Step 5: Solve for x
    x = 60,213.40/215.87
  6. Step 6: Final answer
    x = 278.93

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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.