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Finding the Fourth Proportional to 184.90, 255.06 and 111.17

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Solution

The fourth proportional to 184.90, 255.06 and 111.17 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 255.06 = 111.17 : x
  2. Step 2: Convert to fraction form
    184.90/255.06 = 111.17/x
  3. Step 3: Cross multiply
    184.90x = 255.06 × 111.17
  4. Step 4: Simplify right side
    184.90x = 28,353.19
  5. Step 5: Solve for x
    x = 28,353.19/184.90
  6. Step 6: Final answer
    x = 153.35

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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.