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Finding the Fourth Proportional to 189.14, 285.03 and 157.37

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Solution

The fourth proportional to 189.14, 285.03 and 157.37 is: 237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 285.03 = 157.37 : x
  2. Step 2: Convert to fraction form
    189.14/285.03 = 157.37/x
  3. Step 3: Cross multiply
    189.14x = 285.03 × 157.37
  4. Step 4: Simplify right side
    189.14x = 44,853.75
  5. Step 5: Solve for x
    x = 44,853.75/189.14
  6. Step 6: Final answer
    x = 237.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.