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Finding the Fourth Proportional to 189.14, 285.35 and 188.63

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Solution

The fourth proportional to 189.14, 285.35 and 188.63 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 285.35 = 188.63 : x
  2. Step 2: Convert to fraction form
    189.14/285.35 = 188.63/x
  3. Step 3: Cross multiply
    189.14x = 285.35 × 188.63
  4. Step 4: Simplify right side
    189.14x = 53,824.27
  5. Step 5: Solve for x
    x = 53,824.27/189.14
  6. Step 6: Final answer
    x = 284.58

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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.