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Finding the Fourth Proportional to 189.05, 283.34 and 143.25

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Solution

The fourth proportional to 189.05, 283.34 and 143.25 is: 214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 283.34 = 143.25 : x
  2. Step 2: Convert to fraction form
    189.05/283.34 = 143.25/x
  3. Step 3: Cross multiply
    189.05x = 283.34 × 143.25
  4. Step 4: Simplify right side
    189.05x = 40,587.74
  5. Step 5: Solve for x
    x = 40,587.74/189.05
  6. Step 6: Final answer
    x = 214.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.