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Finding the Fourth Proportional to 188.20, 283.75 and 184.84

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Solution

The fourth proportional to 188.20, 283.75 and 184.84 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.20 : 283.75 = 184.84 : x
  2. Step 2: Convert to fraction form
    188.20/283.75 = 184.84/x
  3. Step 3: Cross multiply
    188.20x = 283.75 × 184.84
  4. Step 4: Simplify right side
    188.20x = 52,448.35
  5. Step 5: Solve for x
    x = 52,448.35/188.20
  6. Step 6: Final answer
    x = 278.68

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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.