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Finding the Fourth Proportional to 251.73, 347.55 and 189.06

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Solution

The fourth proportional to 251.73, 347.55 and 189.06 is: 261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.73 : 347.55 = 189.06 : x
  2. Step 2: Convert to fraction form
    251.73/347.55 = 189.06/x
  3. Step 3: Cross multiply
    251.73x = 347.55 × 189.06
  4. Step 4: Simplify right side
    251.73x = 65,706.86
  5. Step 5: Solve for x
    x = 65,706.86/251.73
  6. Step 6: Final answer
    x = 261.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.