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Finding the Fourth Proportional to 222.50, 332.40 and 186.05

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Solution

The fourth proportional to 222.50, 332.40 and 186.05 is: 277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 332.40 = 186.05 : x
  2. Step 2: Convert to fraction form
    222.50/332.40 = 186.05/x
  3. Step 3: Cross multiply
    222.50x = 332.40 × 186.05
  4. Step 4: Simplify right side
    222.50x = 61,843.02
  5. Step 5: Solve for x
    x = 61,843.02/222.50
  6. Step 6: Final answer
    x = 277.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.