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Finding the Fourth Proportional to 261.89, 360.58 and 222.47

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Solution

The fourth proportional to 261.89, 360.58 and 222.47 is: 306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 360.58 = 222.47 : x
  2. Step 2: Convert to fraction form
    261.89/360.58 = 222.47/x
  3. Step 3: Cross multiply
    261.89x = 360.58 × 222.47
  4. Step 4: Simplify right side
    261.89x = 80,216.43
  5. Step 5: Solve for x
    x = 80,216.43/261.89
  6. Step 6: Final answer
    x = 306.30

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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.