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Finding the Fourth Proportional to 322.24, 486.07 and 312.52

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Solution

The fourth proportional to 322.24, 486.07 and 312.52 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 486.07 = 312.52 : x
  2. Step 2: Convert to fraction form
    322.24/486.07 = 312.52/x
  3. Step 3: Cross multiply
    322.24x = 486.07 × 312.52
  4. Step 4: Simplify right side
    322.24x = 151,906.60
  5. Step 5: Solve for x
    x = 151,906.60/322.24
  6. Step 6: Final answer
    x = 471.41

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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.