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Finding the Fourth Proportional to 188.10, 283.41 and 173.34

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Solution

The fourth proportional to 188.10, 283.41 and 173.34 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 283.41 = 173.34 : x
  2. Step 2: Convert to fraction form
    188.10/283.41 = 173.34/x
  3. Step 3: Cross multiply
    188.10x = 283.41 × 173.34
  4. Step 4: Simplify right side
    188.10x = 49,126.29
  5. Step 5: Solve for x
    x = 49,126.29/188.10
  6. Step 6: Final answer
    x = 261.17

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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.