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Finding the Fourth Proportional to 327.48, 488.82 and 284.45

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Solution

The fourth proportional to 327.48, 488.82 and 284.45 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 488.82 = 284.45 : x
  2. Step 2: Convert to fraction form
    327.48/488.82 = 284.45/x
  3. Step 3: Cross multiply
    327.48x = 488.82 × 284.45
  4. Step 4: Simplify right side
    327.48x = 139,042.40
  5. Step 5: Solve for x
    x = 139,042.40/327.48
  6. Step 6: Final answer
    x = 424.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.