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Finding the Fourth Proportional to 230.84, 318.54 and 143.48

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Solution

The fourth proportional to 230.84, 318.54 and 143.48 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 318.54 = 143.48 : x
  2. Step 2: Convert to fraction form
    230.84/318.54 = 143.48/x
  3. Step 3: Cross multiply
    230.84x = 318.54 × 143.48
  4. Step 4: Simplify right side
    230.84x = 45,704.12
  5. Step 5: Solve for x
    x = 45,704.12/230.84
  6. Step 6: Final answer
    x = 197.99

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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.