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Finding the Fourth Proportional to 301.29, 415.41 and 202.88

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Solution

The fourth proportional to 301.29, 415.41 and 202.88 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.29 : 415.41 = 202.88 : x
  2. Step 2: Convert to fraction form
    301.29/415.41 = 202.88/x
  3. Step 3: Cross multiply
    301.29x = 415.41 × 202.88
  4. Step 4: Simplify right side
    301.29x = 84,276.30
  5. Step 5: Solve for x
    x = 84,276.30/301.29
  6. Step 6: Final answer
    x = 279.72

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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.