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Finding the Fourth Proportional to 189.83, 283.24 and 167.05

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Solution

The fourth proportional to 189.83, 283.24 and 167.05 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.83 : 283.24 = 167.05 : x
  2. Step 2: Convert to fraction form
    189.83/283.24 = 167.05/x
  3. Step 3: Cross multiply
    189.83x = 283.24 × 167.05
  4. Step 4: Simplify right side
    189.83x = 47,315.24
  5. Step 5: Solve for x
    x = 47,315.24/189.83
  6. Step 6: Final answer
    x = 249.25

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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.