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Finding the Fourth Proportional to 426.98, 589.34 and 261.28

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Solution

The fourth proportional to 426.98, 589.34 and 261.28 is: 360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.98 : 589.34 = 261.28 : x
  2. Step 2: Convert to fraction form
    426.98/589.34 = 261.28/x
  3. Step 3: Cross multiply
    426.98x = 589.34 × 261.28
  4. Step 4: Simplify right side
    426.98x = 153,982.76
  5. Step 5: Solve for x
    x = 153,982.76/426.98
  6. Step 6: Final answer
    x = 360.63

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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.