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Finding the Fourth Proportional to 142.88, 212.84 and 140

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Solution

The fourth proportional to 142.88, 212.84 and 140 is: 208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 212.84 = 140 : x
  2. Step 2: Convert to fraction form
    142.88/212.84 = 140/x
  3. Step 3: Cross multiply
    142.88x = 212.84 × 140
  4. Step 4: Simplify right side
    142.88x = 29,797.60
  5. Step 5: Solve for x
    x = 29,797.60/142.88
  6. Step 6: Final answer
    x = 208.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.