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Finding the Fourth Proportional to 395.96, 594.40 and 394.20

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Solution

The fourth proportional to 395.96, 594.40 and 394.20 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 594.40 = 394.20 : x
  2. Step 2: Convert to fraction form
    395.96/594.40 = 394.20/x
  3. Step 3: Cross multiply
    395.96x = 594.40 × 394.20
  4. Step 4: Simplify right side
    395.96x = 234,312.48
  5. Step 5: Solve for x
    x = 234,312.48/395.96
  6. Step 6: Final answer
    x = 591.76

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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.