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Finding the Fourth Proportional to 427.29, 589.53 and 261.33

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Solution

The fourth proportional to 427.29, 589.53 and 261.33 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.29 : 589.53 = 261.33 : x
  2. Step 2: Convert to fraction form
    427.29/589.53 = 261.33/x
  3. Step 3: Cross multiply
    427.29x = 589.53 × 261.33
  4. Step 4: Simplify right side
    427.29x = 154,061.87
  5. Step 5: Solve for x
    x = 154,061.87/427.29
  6. Step 6: Final answer
    x = 360.56

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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.