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Finding the Fourth Proportional to 260.21, 359.10 and 155.27

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Solution

The fourth proportional to 260.21, 359.10 and 155.27 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 359.10 = 155.27 : x
  2. Step 2: Convert to fraction form
    260.21/359.10 = 155.27/x
  3. Step 3: Cross multiply
    260.21x = 359.10 × 155.27
  4. Step 4: Simplify right side
    260.21x = 55,757.46
  5. Step 5: Solve for x
    x = 55,757.46/260.21
  6. Step 6: Final answer
    x = 214.28

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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.