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Finding the Fourth Proportional to 427.56, 589.75 and 261.70

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Solution

The fourth proportional to 427.56, 589.75 and 261.70 is: 360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 589.75 = 261.70 : x
  2. Step 2: Convert to fraction form
    427.56/589.75 = 261.70/x
  3. Step 3: Cross multiply
    427.56x = 589.75 × 261.70
  4. Step 4: Simplify right side
    427.56x = 154,337.58
  5. Step 5: Solve for x
    x = 154,337.58/427.56
  6. Step 6: Final answer
    x = 360.97

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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.