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Finding the Fourth Proportional to 322.37, 483.44 and 157.71

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Solution

The fourth proportional to 322.37, 483.44 and 157.71 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 483.44 = 157.71 : x
  2. Step 2: Convert to fraction form
    322.37/483.44 = 157.71/x
  3. Step 3: Cross multiply
    322.37x = 483.44 × 157.71
  4. Step 4: Simplify right side
    322.37x = 76,242.53
  5. Step 5: Solve for x
    x = 76,242.53/322.37
  6. Step 6: Final answer
    x = 236.51

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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.