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Finding the Fourth Proportional to 482.79, 666.14 and 286.27

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Solution

The fourth proportional to 482.79, 666.14 and 286.27 is: 394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.79 : 666.14 = 286.27 : x
  2. Step 2: Convert to fraction form
    482.79/666.14 = 286.27/x
  3. Step 3: Cross multiply
    482.79x = 666.14 × 286.27
  4. Step 4: Simplify right side
    482.79x = 190,692.80
  5. Step 5: Solve for x
    x = 190,692.80/482.79
  6. Step 6: Final answer
    x = 394.98

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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.