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Finding the Fourth Proportional to 322.92, 442.40 and 310.59

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Solution

The fourth proportional to 322.92, 442.40 and 310.59 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 442.40 = 310.59 : x
  2. Step 2: Convert to fraction form
    322.92/442.40 = 310.59/x
  3. Step 3: Cross multiply
    322.92x = 442.40 × 310.59
  4. Step 4: Simplify right side
    322.92x = 137,403.46
  5. Step 5: Solve for x
    x = 137,403.46/322.92
  6. Step 6: Final answer
    x = 425.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.