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Finding the Fourth Proportional to 218.34, 300.83 and 210.24

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Solution

The fourth proportional to 218.34, 300.83 and 210.24 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 300.83 = 210.24 : x
  2. Step 2: Convert to fraction form
    218.34/300.83 = 210.24/x
  3. Step 3: Cross multiply
    218.34x = 300.83 × 210.24
  4. Step 4: Simplify right side
    218.34x = 63,245.45
  5. Step 5: Solve for x
    x = 63,245.45/218.34
  6. Step 6: Final answer
    x = 289.66

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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.