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Finding the Fourth Proportional to 410.20, 566.66 and 286.20

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Solution

The fourth proportional to 410.20, 566.66 and 286.20 is: 395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 566.66 = 286.20 : x
  2. Step 2: Convert to fraction form
    410.20/566.66 = 286.20/x
  3. Step 3: Cross multiply
    410.20x = 566.66 × 286.20
  4. Step 4: Simplify right side
    410.20x = 162,178.09
  5. Step 5: Solve for x
    x = 162,178.09/410.20
  6. Step 6: Final answer
    x = 395.36

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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.