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Finding the Fourth Proportional to 218.76, 325.80 and 212.98

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Solution

The fourth proportional to 218.76, 325.80 and 212.98 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 325.80 = 212.98 : x
  2. Step 2: Convert to fraction form
    218.76/325.80 = 212.98/x
  3. Step 3: Cross multiply
    218.76x = 325.80 × 212.98
  4. Step 4: Simplify right side
    218.76x = 69,388.88
  5. Step 5: Solve for x
    x = 69,388.88/218.76
  6. Step 6: Final answer
    x = 317.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.