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Finding the Fourth Proportional to 410.43, 566.10 and 286.14

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Solution

The fourth proportional to 410.43, 566.10 and 286.14 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 566.10 = 286.14 : x
  2. Step 2: Convert to fraction form
    410.43/566.10 = 286.14/x
  3. Step 3: Cross multiply
    410.43x = 566.10 × 286.14
  4. Step 4: Simplify right side
    410.43x = 161,983.85
  5. Step 5: Solve for x
    x = 161,983.85/410.43
  6. Step 6: Final answer
    x = 394.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.