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Finding the Fourth Proportional to 322.22, 480.95 and 314.45

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Solution

The fourth proportional to 322.22, 480.95 and 314.45 is: 469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.22 : 480.95 = 314.45 : x
  2. Step 2: Convert to fraction form
    322.22/480.95 = 314.45/x
  3. Step 3: Cross multiply
    322.22x = 480.95 × 314.45
  4. Step 4: Simplify right side
    322.22x = 151,234.36
  5. Step 5: Solve for x
    x = 151,234.36/322.22
  6. Step 6: Final answer
    x = 469.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.