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Finding the Fourth Proportional to 283.56, 392.44 and 276.74

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Solution

The fourth proportional to 283.56, 392.44 and 276.74 is: 383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 392.44 = 276.74 : x
  2. Step 2: Convert to fraction form
    283.56/392.44 = 276.74/x
  3. Step 3: Cross multiply
    283.56x = 392.44 × 276.74
  4. Step 4: Simplify right side
    283.56x = 108,604.13
  5. Step 5: Solve for x
    x = 108,604.13/283.56
  6. Step 6: Final answer
    x = 383.00

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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.