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Finding the Fourth Proportional to 216.75, 299.12 and 143.19

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Solution

The fourth proportional to 216.75, 299.12 and 143.19 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 299.12 = 143.19 : x
  2. Step 2: Convert to fraction form
    216.75/299.12 = 143.19/x
  3. Step 3: Cross multiply
    216.75x = 299.12 × 143.19
  4. Step 4: Simplify right side
    216.75x = 42,830.99
  5. Step 5: Solve for x
    x = 42,830.99/216.75
  6. Step 6: Final answer
    x = 197.61

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Find fourth proportional to 108.38, 149.56 and 71.60
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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.