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Finding the Fourth Proportional to 251.76, 347.01 and 189.18

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Solution

The fourth proportional to 251.76, 347.01 and 189.18 is: 260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.76 : 347.01 = 189.18 : x
  2. Step 2: Convert to fraction form
    251.76/347.01 = 189.18/x
  3. Step 3: Cross multiply
    251.76x = 347.01 × 189.18
  4. Step 4: Simplify right side
    251.76x = 65,647.35
  5. Step 5: Solve for x
    x = 65,647.35/251.76
  6. Step 6: Final answer
    x = 260.75

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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.