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Finding the Fourth Proportional to 251.50, 347.16 and 193.18

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Solution

The fourth proportional to 251.50, 347.16 and 193.18 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 347.16 = 193.18 : x
  2. Step 2: Convert to fraction form
    251.50/347.16 = 193.18/x
  3. Step 3: Cross multiply
    251.50x = 347.16 × 193.18
  4. Step 4: Simplify right side
    251.50x = 67,064.37
  5. Step 5: Solve for x
    x = 67,064.37/251.50
  6. Step 6: Final answer
    x = 266.66

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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.