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Finding the Fourth Proportional to 482.38, 665.75 and 295.88

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Solution

The fourth proportional to 482.38, 665.75 and 295.88 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.38 : 665.75 = 295.88 : x
  2. Step 2: Convert to fraction form
    482.38/665.75 = 295.88/x
  3. Step 3: Cross multiply
    482.38x = 665.75 × 295.88
  4. Step 4: Simplify right side
    482.38x = 196,982.11
  5. Step 5: Solve for x
    x = 196,982.11/482.38
  6. Step 6: Final answer
    x = 408.35

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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.