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Finding the Fourth Proportional to 322.55, 481.24 and 293.32

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Solution

The fourth proportional to 322.55, 481.24 and 293.32 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.55 : 481.24 = 293.32 : x
  2. Step 2: Convert to fraction form
    322.55/481.24 = 293.32/x
  3. Step 3: Cross multiply
    322.55x = 481.24 × 293.32
  4. Step 4: Simplify right side
    322.55x = 141,158.29
  5. Step 5: Solve for x
    x = 141,158.29/322.55
  6. Step 6: Final answer
    x = 437.63

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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.