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Finding the Fourth Proportional to 394.44, 589.13 and 285.90

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Solution

The fourth proportional to 394.44, 589.13 and 285.90 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.44 : 589.13 = 285.90 : x
  2. Step 2: Convert to fraction form
    394.44/589.13 = 285.90/x
  3. Step 3: Cross multiply
    394.44x = 589.13 × 285.90
  4. Step 4: Simplify right side
    394.44x = 168,430.84
  5. Step 5: Solve for x
    x = 168,430.84/394.44
  6. Step 6: Final answer
    x = 427.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.