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Finding the Fourth Proportional to 189.05, 282.53 and 137.34

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Solution

The fourth proportional to 189.05, 282.53 and 137.34 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 282.53 = 137.34 : x
  2. Step 2: Convert to fraction form
    189.05/282.53 = 137.34/x
  3. Step 3: Cross multiply
    189.05x = 282.53 × 137.34
  4. Step 4: Simplify right side
    189.05x = 38,803.01
  5. Step 5: Solve for x
    x = 38,803.01/189.05
  6. Step 6: Final answer
    x = 205.26

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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.