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Finding the Fourth Proportional to 410.37, 566.55 and 285.97

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Solution

The fourth proportional to 410.37, 566.55 and 285.97 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 566.55 = 285.97 : x
  2. Step 2: Convert to fraction form
    410.37/566.55 = 285.97/x
  3. Step 3: Cross multiply
    410.37x = 566.55 × 285.97
  4. Step 4: Simplify right side
    410.37x = 162,016.30
  5. Step 5: Solve for x
    x = 162,016.30/410.37
  6. Step 6: Final answer
    x = 394.81

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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.