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Finding the Fourth Proportional to 482.49, 665.82 and 285.89

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Solution

The fourth proportional to 482.49, 665.82 and 285.89 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.49 : 665.82 = 285.89 : x
  2. Step 2: Convert to fraction form
    482.49/665.82 = 285.89/x
  3. Step 3: Cross multiply
    482.49x = 665.82 × 285.89
  4. Step 4: Simplify right side
    482.49x = 190,347.95
  5. Step 5: Solve for x
    x = 190,347.95/482.49
  6. Step 6: Final answer
    x = 394.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.