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Finding the Fourth Proportional to 322.37, 480.95 and 293.13

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Solution

The fourth proportional to 322.37, 480.95 and 293.13 is: 437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 480.95 = 293.13 : x
  2. Step 2: Convert to fraction form
    322.37/480.95 = 293.13/x
  3. Step 3: Cross multiply
    322.37x = 480.95 × 293.13
  4. Step 4: Simplify right side
    322.37x = 140,979.41
  5. Step 5: Solve for x
    x = 140,979.41/322.37
  6. Step 6: Final answer
    x = 437.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.