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Finding the Fourth Proportional to 308.10, 427.13 and 291.66

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Solution

The fourth proportional to 308.10, 427.13 and 291.66 is: 404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 427.13 = 291.66 : x
  2. Step 2: Convert to fraction form
    308.10/427.13 = 291.66/x
  3. Step 3: Cross multiply
    308.10x = 427.13 × 291.66
  4. Step 4: Simplify right side
    308.10x = 124,575.28
  5. Step 5: Solve for x
    x = 124,575.28/308.10
  6. Step 6: Final answer
    x = 404.33

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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.