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Finding the Fourth Proportional to 218.84, 299.81 and 210.63

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Solution

The fourth proportional to 218.84, 299.81 and 210.63 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 299.81 = 210.63 : x
  2. Step 2: Convert to fraction form
    218.84/299.81 = 210.63/x
  3. Step 3: Cross multiply
    218.84x = 299.81 × 210.63
  4. Step 4: Simplify right side
    218.84x = 63,147.93
  5. Step 5: Solve for x
    x = 63,147.93/218.84
  6. Step 6: Final answer
    x = 288.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.