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Finding the Fourth Proportional to 410.76, 566.82 and 286.38

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Solution

The fourth proportional to 410.76, 566.82 and 286.38 is: 395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 566.82 = 286.38 : x
  2. Step 2: Convert to fraction form
    410.76/566.82 = 286.38/x
  3. Step 3: Cross multiply
    410.76x = 566.82 × 286.38
  4. Step 4: Simplify right side
    410.76x = 162,325.91
  5. Step 5: Solve for x
    x = 162,325.91/410.76
  6. Step 6: Final answer
    x = 395.18

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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.