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Finding the Fourth Proportional to 301.35, 417.82 and 291.23

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Solution

The fourth proportional to 301.35, 417.82 and 291.23 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.35 : 417.82 = 291.23 : x
  2. Step 2: Convert to fraction form
    301.35/417.82 = 291.23/x
  3. Step 3: Cross multiply
    301.35x = 417.82 × 291.23
  4. Step 4: Simplify right side
    301.35x = 121,680.20
  5. Step 5: Solve for x
    x = 121,680.20/301.35
  6. Step 6: Final answer
    x = 403.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.