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Finding the Fourth Proportional to 322.89, 486.10 and 220.83

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Solution

The fourth proportional to 322.89, 486.10 and 220.83 is: 332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.89 : 486.10 = 220.83 : x
  2. Step 2: Convert to fraction form
    322.89/486.10 = 220.83/x
  3. Step 3: Cross multiply
    322.89x = 486.10 × 220.83
  4. Step 4: Simplify right side
    322.89x = 107,341.93
  5. Step 5: Solve for x
    x = 107,341.93/322.89
  6. Step 6: Final answer
    x = 332.45

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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.