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Finding the Fourth Proportional to 427.20, 589.42 and 261.41

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Solution

The fourth proportional to 427.20, 589.42 and 261.41 is: 360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.20 : 589.42 = 261.41 : x
  2. Step 2: Convert to fraction form
    427.20/589.42 = 261.41/x
  3. Step 3: Cross multiply
    427.20x = 589.42 × 261.41
  4. Step 4: Simplify right side
    427.20x = 154,077.66
  5. Step 5: Solve for x
    x = 154,077.66/427.20
  6. Step 6: Final answer
    x = 360.67

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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.