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Finding the Fourth Proportional to 322.59, 444.57 and 252.54

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Solution

The fourth proportional to 322.59, 444.57 and 252.54 is: 348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.59 : 444.57 = 252.54 : x
  2. Step 2: Convert to fraction form
    322.59/444.57 = 252.54/x
  3. Step 3: Cross multiply
    322.59x = 444.57 × 252.54
  4. Step 4: Simplify right side
    322.59x = 112,271.71
  5. Step 5: Solve for x
    x = 112,271.71/322.59
  6. Step 6: Final answer
    x = 348.03

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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.