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Finding the Fourth Proportional to 414.37, 570.60 and 283.15

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Solution

The fourth proportional to 414.37, 570.60 and 283.15 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.37 : 570.60 = 283.15 : x
  2. Step 2: Convert to fraction form
    414.37/570.60 = 283.15/x
  3. Step 3: Cross multiply
    414.37x = 570.60 × 283.15
  4. Step 4: Simplify right side
    414.37x = 161,563.96
  5. Step 5: Solve for x
    x = 161,563.96/414.37
  6. Step 6: Final answer
    x = 389.91

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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.