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Finding the Fourth Proportional to 322.72, 442.80 and 314.56

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Solution

The fourth proportional to 322.72, 442.80 and 314.56 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 442.80 = 314.56 : x
  2. Step 2: Convert to fraction form
    322.72/442.80 = 314.56/x
  3. Step 3: Cross multiply
    322.72x = 442.80 × 314.56
  4. Step 4: Simplify right side
    322.72x = 139,287.17
  5. Step 5: Solve for x
    x = 139,287.17/322.72
  6. Step 6: Final answer
    x = 431.60

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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.