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Finding the Fourth Proportional to 322.32, 482.88 and 285.87

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Solution

The fourth proportional to 322.32, 482.88 and 285.87 is: 428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 482.88 = 285.87 : x
  2. Step 2: Convert to fraction form
    322.32/482.88 = 285.87/x
  3. Step 3: Cross multiply
    322.32x = 482.88 × 285.87
  4. Step 4: Simplify right side
    322.32x = 138,042.18
  5. Step 5: Solve for x
    x = 138,042.18/322.32
  6. Step 6: Final answer
    x = 428.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.