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Finding the Fourth Proportional to 322.37, 483.55 and 253.81

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Solution

The fourth proportional to 322.37, 483.55 and 253.81 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 483.55 = 253.81 : x
  2. Step 2: Convert to fraction form
    322.37/483.55 = 253.81/x
  3. Step 3: Cross multiply
    322.37x = 483.55 × 253.81
  4. Step 4: Simplify right side
    322.37x = 122,727.98
  5. Step 5: Solve for x
    x = 122,727.98/322.37
  6. Step 6: Final answer
    x = 380.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.