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Finding the Fourth Proportional to 322.96, 480.98 and 314.32

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Solution

The fourth proportional to 322.96, 480.98 and 314.32 is: 468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.96 : 480.98 = 314.32 : x
  2. Step 2: Convert to fraction form
    322.96/480.98 = 314.32/x
  3. Step 3: Cross multiply
    322.96x = 480.98 × 314.32
  4. Step 4: Simplify right side
    322.96x = 151,181.63
  5. Step 5: Solve for x
    x = 151,181.63/322.96
  6. Step 6: Final answer
    x = 468.11

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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.