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Finding the Fourth Proportional to 322.48, 483.87 and 158.05

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Solution

The fourth proportional to 322.48, 483.87 and 158.05 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 483.87 = 158.05 : x
  2. Step 2: Convert to fraction form
    322.48/483.87 = 158.05/x
  3. Step 3: Cross multiply
    322.48x = 483.87 × 158.05
  4. Step 4: Simplify right side
    322.48x = 76,473.23
  5. Step 5: Solve for x
    x = 76,473.23/322.48
  6. Step 6: Final answer
    x = 237.14

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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.