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Finding the Fourth Proportional to 251.74, 347.37 and 146.81

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Solution

The fourth proportional to 251.74, 347.37 and 146.81 is: 202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 347.37 = 146.81 : x
  2. Step 2: Convert to fraction form
    251.74/347.37 = 146.81/x
  3. Step 3: Cross multiply
    251.74x = 347.37 × 146.81
  4. Step 4: Simplify right side
    251.74x = 50,996.99
  5. Step 5: Solve for x
    x = 50,996.99/251.74
  6. Step 6: Final answer
    x = 202.57

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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.