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Finding the Fourth Proportional to 184.18, 254.21 and 105.54

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Solution

The fourth proportional to 184.18, 254.21 and 105.54 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.18 : 254.21 = 105.54 : x
  2. Step 2: Convert to fraction form
    184.18/254.21 = 105.54/x
  3. Step 3: Cross multiply
    184.18x = 254.21 × 105.54
  4. Step 4: Simplify right side
    184.18x = 26,828.32
  5. Step 5: Solve for x
    x = 26,828.32/184.18
  6. Step 6: Final answer
    x = 145.67

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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.