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Finding the Fourth Proportional to 222.12, 332.64 and 186.24

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Solution

The fourth proportional to 222.12, 332.64 and 186.24 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 332.64 = 186.24 : x
  2. Step 2: Convert to fraction form
    222.12/332.64 = 186.24/x
  3. Step 3: Cross multiply
    222.12x = 332.64 × 186.24
  4. Step 4: Simplify right side
    222.12x = 61,950.87
  5. Step 5: Solve for x
    x = 61,950.87/222.12
  6. Step 6: Final answer
    x = 278.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.