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Finding the Fourth Proportional to 216.81, 298.90 and 143

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Solution

The fourth proportional to 216.81, 298.90 and 143 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 298.90 = 143 : x
  2. Step 2: Convert to fraction form
    216.81/298.90 = 143/x
  3. Step 3: Cross multiply
    216.81x = 298.90 × 143
  4. Step 4: Simplify right side
    216.81x = 42,742.70
  5. Step 5: Solve for x
    x = 42,742.70/216.81
  6. Step 6: Final answer
    x = 197.14

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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.