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Finding the Fourth Proportional to 322.79, 486.08 and 232.12

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Solution

The fourth proportional to 322.79, 486.08 and 232.12 is: 349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 486.08 = 232.12 : x
  2. Step 2: Convert to fraction form
    322.79/486.08 = 232.12/x
  3. Step 3: Cross multiply
    322.79x = 486.08 × 232.12
  4. Step 4: Simplify right side
    322.79x = 112,826.51
  5. Step 5: Solve for x
    x = 112,826.51/322.79
  6. Step 6: Final answer
    x = 349.53

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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.