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Finding the Fourth Proportional to 322.59, 485.71 and 284.32

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Solution

The fourth proportional to 322.59, 485.71 and 284.32 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.59 : 485.71 = 284.32 : x
  2. Step 2: Convert to fraction form
    322.59/485.71 = 284.32/x
  3. Step 3: Cross multiply
    322.59x = 485.71 × 284.32
  4. Step 4: Simplify right side
    322.59x = 138,097.07
  5. Step 5: Solve for x
    x = 138,097.07/322.59
  6. Step 6: Final answer
    x = 428.09

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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.