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Finding the Fourth Proportional to 394.70, 590.85 and 308.30

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Solution

The fourth proportional to 394.70, 590.85 and 308.30 is: 461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.70 : 590.85 = 308.30 : x
  2. Step 2: Convert to fraction form
    394.70/590.85 = 308.30/x
  3. Step 3: Cross multiply
    394.70x = 590.85 × 308.30
  4. Step 4: Simplify right side
    394.70x = 182,159.06
  5. Step 5: Solve for x
    x = 182,159.06/394.70
  6. Step 6: Final answer
    x = 461.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.