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Finding the Fourth Proportional to 189.07, 284.96 and 189.07

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Solution

The fourth proportional to 189.07, 284.96 and 189.07 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.07 : 284.96 = 189.07 : x
  2. Step 2: Convert to fraction form
    189.07/284.96 = 189.07/x
  3. Step 3: Cross multiply
    189.07x = 284.96 × 189.07
  4. Step 4: Simplify right side
    189.07x = 53,877.15
  5. Step 5: Solve for x
    x = 53,877.15/189.07
  6. Step 6: Final answer
    x = 284.96

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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.