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Finding the Fourth Proportional to 189.42, 282.22 and 186.98

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Solution

The fourth proportional to 189.42, 282.22 and 186.98 is: 278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 282.22 = 186.98 : x
  2. Step 2: Convert to fraction form
    189.42/282.22 = 186.98/x
  3. Step 3: Cross multiply
    189.42x = 282.22 × 186.98
  4. Step 4: Simplify right side
    189.42x = 52,769.50
  5. Step 5: Solve for x
    x = 52,769.50/189.42
  6. Step 6: Final answer
    x = 278.58

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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.