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Finding the Fourth Proportional to 394.59, 590.98 and 302.59

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Solution

The fourth proportional to 394.59, 590.98 and 302.59 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.59 : 590.98 = 302.59 : x
  2. Step 2: Convert to fraction form
    394.59/590.98 = 302.59/x
  3. Step 3: Cross multiply
    394.59x = 590.98 × 302.59
  4. Step 4: Simplify right side
    394.59x = 178,824.64
  5. Step 5: Solve for x
    x = 178,824.64/394.59
  6. Step 6: Final answer
    x = 453.19

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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.