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Finding the Fourth Proportional to 431.37, 595.21 and 298.38

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Solution

The fourth proportional to 431.37, 595.21 and 298.38 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.37 : 595.21 = 298.38 : x
  2. Step 2: Convert to fraction form
    431.37/595.21 = 298.38/x
  3. Step 3: Cross multiply
    431.37x = 595.21 × 298.38
  4. Step 4: Simplify right side
    431.37x = 177,599.97
  5. Step 5: Solve for x
    x = 177,599.97/431.37
  6. Step 6: Final answer
    x = 411.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.