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Finding the Fourth Proportional to 188.61, 284.36 and 186.18

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Solution

The fourth proportional to 188.61, 284.36 and 186.18 is: 280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.61 : 284.36 = 186.18 : x
  2. Step 2: Convert to fraction form
    188.61/284.36 = 186.18/x
  3. Step 3: Cross multiply
    188.61x = 284.36 × 186.18
  4. Step 4: Simplify right side
    188.61x = 52,942.14
  5. Step 5: Solve for x
    x = 52,942.14/188.61
  6. Step 6: Final answer
    x = 280.70

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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.