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Finding the Fourth Proportional to 322.45, 445.16 and 291.26

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Solution

The fourth proportional to 322.45, 445.16 and 291.26 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 445.16 = 291.26 : x
  2. Step 2: Convert to fraction form
    322.45/445.16 = 291.26/x
  3. Step 3: Cross multiply
    322.45x = 445.16 × 291.26
  4. Step 4: Simplify right side
    322.45x = 129,657.30
  5. Step 5: Solve for x
    x = 129,657.30/322.45
  6. Step 6: Final answer
    x = 402.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.