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Finding the Fourth Proportional to 398.37, 595.28 and 298.89

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Solution

The fourth proportional to 398.37, 595.28 and 298.89 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.37 : 595.28 = 298.89 : x
  2. Step 2: Convert to fraction form
    398.37/595.28 = 298.89/x
  3. Step 3: Cross multiply
    398.37x = 595.28 × 298.89
  4. Step 4: Simplify right side
    398.37x = 177,920.26
  5. Step 5: Solve for x
    x = 177,920.26/398.37
  6. Step 6: Final answer
    x = 446.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.