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Finding the Fourth Proportional to 180.45, 249.12 and 114.93

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Solution

The fourth proportional to 180.45, 249.12 and 114.93 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 249.12 = 114.93 : x
  2. Step 2: Convert to fraction form
    180.45/249.12 = 114.93/x
  3. Step 3: Cross multiply
    180.45x = 249.12 × 114.93
  4. Step 4: Simplify right side
    180.45x = 28,631.36
  5. Step 5: Solve for x
    x = 28,631.36/180.45
  6. Step 6: Final answer
    x = 158.67

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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.