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Finding the Fourth Proportional to 394.16, 594.70 and 380.52

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Solution

The fourth proportional to 394.16, 594.70 and 380.52 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 594.70 = 380.52 : x
  2. Step 2: Convert to fraction form
    394.16/594.70 = 380.52/x
  3. Step 3: Cross multiply
    394.16x = 594.70 × 380.52
  4. Step 4: Simplify right side
    394.16x = 226,294.29
  5. Step 5: Solve for x
    x = 226,294.29/394.16
  6. Step 6: Final answer
    x = 574.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.