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Finding the Fourth Proportional to 274.15, 377.85 and 186.67

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Solution

The fourth proportional to 274.15, 377.85 and 186.67 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 377.85 = 186.67 : x
  2. Step 2: Convert to fraction form
    274.15/377.85 = 186.67/x
  3. Step 3: Cross multiply
    274.15x = 377.85 × 186.67
  4. Step 4: Simplify right side
    274.15x = 70,533.26
  5. Step 5: Solve for x
    x = 70,533.26/274.15
  6. Step 6: Final answer
    x = 257.28

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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.