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Finding the Fourth Proportional to 322.65, 485.81 and 284.38

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Solution

The fourth proportional to 322.65, 485.81 and 284.38 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.65 : 485.81 = 284.38 : x
  2. Step 2: Convert to fraction form
    322.65/485.81 = 284.38/x
  3. Step 3: Cross multiply
    322.65x = 485.81 × 284.38
  4. Step 4: Simplify right side
    322.65x = 138,153.83
  5. Step 5: Solve for x
    x = 138,153.83/322.65
  6. Step 6: Final answer
    x = 428.18

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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.