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Finding the Fourth Proportional to 397.13, 594.68 and 294.26

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Solution

The fourth proportional to 397.13, 594.68 and 294.26 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 594.68 = 294.26 : x
  2. Step 2: Convert to fraction form
    397.13/594.68 = 294.26/x
  3. Step 3: Cross multiply
    397.13x = 594.68 × 294.26
  4. Step 4: Simplify right side
    397.13x = 174,986.09
  5. Step 5: Solve for x
    x = 174,986.09/397.13
  6. Step 6: Final answer
    x = 440.63

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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.