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Finding the Fourth Proportional to 322.12, 442.01 and 316.36

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Solution

The fourth proportional to 322.12, 442.01 and 316.36 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 442.01 = 316.36 : x
  2. Step 2: Convert to fraction form
    322.12/442.01 = 316.36/x
  3. Step 3: Cross multiply
    322.12x = 442.01 × 316.36
  4. Step 4: Simplify right side
    322.12x = 139,834.28
  5. Step 5: Solve for x
    x = 139,834.28/322.12
  6. Step 6: Final answer
    x = 434.11

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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.