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Finding the Fourth Proportional to 322.56, 486.72 and 309.24

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Solution

The fourth proportional to 322.56, 486.72 and 309.24 is: 466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 486.72 = 309.24 : x
  2. Step 2: Convert to fraction form
    322.56/486.72 = 309.24/x
  3. Step 3: Cross multiply
    322.56x = 486.72 × 309.24
  4. Step 4: Simplify right side
    322.56x = 150,513.29
  5. Step 5: Solve for x
    x = 150,513.29/322.56
  6. Step 6: Final answer
    x = 466.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.