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Finding the Fourth Proportional to 188.80, 284.88 and 182.02

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Solution

The fourth proportional to 188.80, 284.88 and 182.02 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 284.88 = 182.02 : x
  2. Step 2: Convert to fraction form
    188.80/284.88 = 182.02/x
  3. Step 3: Cross multiply
    188.80x = 284.88 × 182.02
  4. Step 4: Simplify right side
    188.80x = 51,853.86
  5. Step 5: Solve for x
    x = 51,853.86/188.80
  6. Step 6: Final answer
    x = 274.65

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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.