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Finding the Fourth Proportional to 188.95, 283.58 and 128.20

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Solution

The fourth proportional to 188.95, 283.58 and 128.20 is: 192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 283.58 = 128.20 : x
  2. Step 2: Convert to fraction form
    188.95/283.58 = 128.20/x
  3. Step 3: Cross multiply
    188.95x = 283.58 × 128.20
  4. Step 4: Simplify right side
    188.95x = 36,354.96
  5. Step 5: Solve for x
    x = 36,354.96/188.95
  6. Step 6: Final answer
    x = 192.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.