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Finding the Fourth Proportional to 189.53, 285.52 and 187.14

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Solution

The fourth proportional to 189.53, 285.52 and 187.14 is: 281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.53 : 285.52 = 187.14 : x
  2. Step 2: Convert to fraction form
    189.53/285.52 = 187.14/x
  3. Step 3: Cross multiply
    189.53x = 285.52 × 187.14
  4. Step 4: Simplify right side
    189.53x = 53,431.74
  5. Step 5: Solve for x
    x = 53,431.74/189.53
  6. Step 6: Final answer
    x = 281.91

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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.