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Finding the Fourth Proportional to 482.77, 666 and 286.21

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Solution

The fourth proportional to 482.77, 666 and 286.21 is: 394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.77 : 666 = 286.21 : x
  2. Step 2: Convert to fraction form
    482.77/666 = 286.21/x
  3. Step 3: Cross multiply
    482.77x = 666 × 286.21
  4. Step 4: Simplify right side
    482.77x = 190,615.86
  5. Step 5: Solve for x
    x = 190,615.86/482.77
  6. Step 6: Final answer
    x = 394.84

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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.