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Finding the Fourth Proportional to 301.17, 415.29 and 208.05

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Solution

The fourth proportional to 301.17, 415.29 and 208.05 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.17 : 415.29 = 208.05 : x
  2. Step 2: Convert to fraction form
    301.17/415.29 = 208.05/x
  3. Step 3: Cross multiply
    301.17x = 415.29 × 208.05
  4. Step 4: Simplify right side
    301.17x = 86,401.08
  5. Step 5: Solve for x
    x = 86,401.08/301.17
  6. Step 6: Final answer
    x = 286.88

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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.