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Finding the Fourth Proportional to 322.94, 444.56 and 290.18

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Solution

The fourth proportional to 322.94, 444.56 and 290.18 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 444.56 = 290.18 : x
  2. Step 2: Convert to fraction form
    322.94/444.56 = 290.18/x
  3. Step 3: Cross multiply
    322.94x = 444.56 × 290.18
  4. Step 4: Simplify right side
    322.94x = 129,002.42
  5. Step 5: Solve for x
    x = 129,002.42/322.94
  6. Step 6: Final answer
    x = 399.46

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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.