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Finding the Fourth Proportional to 143.90, 212.84 and 143.90

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Solution

The fourth proportional to 143.90, 212.84 and 143.90 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 212.84 = 143.90 : x
  2. Step 2: Convert to fraction form
    143.90/212.84 = 143.90/x
  3. Step 3: Cross multiply
    143.90x = 212.84 × 143.90
  4. Step 4: Simplify right side
    143.90x = 30,627.68
  5. Step 5: Solve for x
    x = 30,627.68/143.90
  6. Step 6: Final answer
    x = 212.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.