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Finding the Fourth Proportional to 322.08, 442.68 and 307.68

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Solution

The fourth proportional to 322.08, 442.68 and 307.68 is: 422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 442.68 = 307.68 : x
  2. Step 2: Convert to fraction form
    322.08/442.68 = 307.68/x
  3. Step 3: Cross multiply
    322.08x = 442.68 × 307.68
  4. Step 4: Simplify right side
    322.08x = 136,203.78
  5. Step 5: Solve for x
    x = 136,203.78/322.08
  6. Step 6: Final answer
    x = 422.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.