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Finding the Fourth Proportional to 260.61, 360.02 and 221.20

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Solution

The fourth proportional to 260.61, 360.02 and 221.20 is: 305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.61 : 360.02 = 221.20 : x
  2. Step 2: Convert to fraction form
    260.61/360.02 = 221.20/x
  3. Step 3: Cross multiply
    260.61x = 360.02 × 221.20
  4. Step 4: Simplify right side
    260.61x = 79,636.08
  5. Step 5: Solve for x
    x = 79,636.08/260.61
  6. Step 6: Final answer
    x = 305.58

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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.