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Finding the Fourth Proportional to 189.05, 285.32 and 184.19

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Solution

The fourth proportional to 189.05, 285.32 and 184.19 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 285.32 = 184.19 : x
  2. Step 2: Convert to fraction form
    189.05/285.32 = 184.19/x
  3. Step 3: Cross multiply
    189.05x = 285.32 × 184.19
  4. Step 4: Simplify right side
    189.05x = 52,552.16
  5. Step 5: Solve for x
    x = 52,552.16/189.05
  6. Step 6: Final answer
    x = 277.98

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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.