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Finding the Fourth Proportional to 482.85, 666.26 and 286.38

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Solution

The fourth proportional to 482.85, 666.26 and 286.38 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.85 : 666.26 = 286.38 : x
  2. Step 2: Convert to fraction form
    482.85/666.26 = 286.38/x
  3. Step 3: Cross multiply
    482.85x = 666.26 × 286.38
  4. Step 4: Simplify right side
    482.85x = 190,803.54
  5. Step 5: Solve for x
    x = 190,803.54/482.85
  6. Step 6: Final answer
    x = 395.16

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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.