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Finding the Fourth Proportional to 218.74, 327.69 and 175.50

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Solution

The fourth proportional to 218.74, 327.69 and 175.50 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 327.69 = 175.50 : x
  2. Step 2: Convert to fraction form
    218.74/327.69 = 175.50/x
  3. Step 3: Cross multiply
    218.74x = 327.69 × 175.50
  4. Step 4: Simplify right side
    218.74x = 57,509.60
  5. Step 5: Solve for x
    x = 57,509.60/218.74
  6. Step 6: Final answer
    x = 262.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.