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Finding the Fourth Proportional to 261.06, 389.73 and 222.12

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Solution

The fourth proportional to 261.06, 389.73 and 222.12 is: 331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 389.73 = 222.12 : x
  2. Step 2: Convert to fraction form
    261.06/389.73 = 222.12/x
  3. Step 3: Cross multiply
    261.06x = 389.73 × 222.12
  4. Step 4: Simplify right side
    261.06x = 86,566.83
  5. Step 5: Solve for x
    x = 86,566.83/261.06
  6. Step 6: Final answer
    x = 331.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.