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Finding the Fourth Proportional to 188.39, 284.33 and 183.53

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Solution

The fourth proportional to 188.39, 284.33 and 183.53 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.39 : 284.33 = 183.53 : x
  2. Step 2: Convert to fraction form
    188.39/284.33 = 183.53/x
  3. Step 3: Cross multiply
    188.39x = 284.33 × 183.53
  4. Step 4: Simplify right side
    188.39x = 52,183.22
  5. Step 5: Solve for x
    x = 52,183.22/188.39
  6. Step 6: Final answer
    x = 276.99

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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.