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Finding the Fourth Proportional to 261.00, 360.05 and 190.94

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Solution

The fourth proportional to 261.00, 360.05 and 190.94 is: 263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.00 : 360.05 = 190.94 : x
  2. Step 2: Convert to fraction form
    261.00/360.05 = 190.94/x
  3. Step 3: Cross multiply
    261.00x = 360.05 × 190.94
  4. Step 4: Simplify right side
    261.00x = 68,745.19
  5. Step 5: Solve for x
    x = 68,745.19/261.00
  6. Step 6: Final answer
    x = 263.40

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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.