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Finding the Fourth Proportional to 322.81, 485.96 and 278.17

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Solution

The fourth proportional to 322.81, 485.96 and 278.17 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.81 : 485.96 = 278.17 : x
  2. Step 2: Convert to fraction form
    322.81/485.96 = 278.17/x
  3. Step 3: Cross multiply
    322.81x = 485.96 × 278.17
  4. Step 4: Simplify right side
    322.81x = 135,176.89
  5. Step 5: Solve for x
    x = 135,176.89/322.81
  6. Step 6: Final answer
    x = 418.75

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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.