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Finding the Fourth Proportional to 322.92, 444.90 and 307.56

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Solution

The fourth proportional to 322.92, 444.90 and 307.56 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 444.90 = 307.56 : x
  2. Step 2: Convert to fraction form
    322.92/444.90 = 307.56/x
  3. Step 3: Cross multiply
    322.92x = 444.90 × 307.56
  4. Step 4: Simplify right side
    322.92x = 136,833.44
  5. Step 5: Solve for x
    x = 136,833.44/322.92
  6. Step 6: Final answer
    x = 423.74

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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.