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Finding the Fourth Proportional to 189.37, 282.72 and 177.78

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Solution

The fourth proportional to 189.37, 282.72 and 177.78 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 282.72 = 177.78 : x
  2. Step 2: Convert to fraction form
    189.37/282.72 = 177.78/x
  3. Step 3: Cross multiply
    189.37x = 282.72 × 177.78
  4. Step 4: Simplify right side
    189.37x = 50,261.96
  5. Step 5: Solve for x
    x = 50,261.96/189.37
  6. Step 6: Final answer
    x = 265.42

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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.