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Finding the Fourth Proportional to 258.20, 356.16 and 202.85

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Solution

The fourth proportional to 258.20, 356.16 and 202.85 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 356.16 = 202.85 : x
  2. Step 2: Convert to fraction form
    258.20/356.16 = 202.85/x
  3. Step 3: Cross multiply
    258.20x = 356.16 × 202.85
  4. Step 4: Simplify right side
    258.20x = 72,247.06
  5. Step 5: Solve for x
    x = 72,247.06/258.20
  6. Step 6: Final answer
    x = 279.81

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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.