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Finding the Fourth Proportional to 322.16, 444.27 and 298.58

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Solution

The fourth proportional to 322.16, 444.27 and 298.58 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 444.27 = 298.58 : x
  2. Step 2: Convert to fraction form
    322.16/444.27 = 298.58/x
  3. Step 3: Cross multiply
    322.16x = 444.27 × 298.58
  4. Step 4: Simplify right side
    322.16x = 132,650.14
  5. Step 5: Solve for x
    x = 132,650.14/322.16
  6. Step 6: Final answer
    x = 411.75

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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.