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Finding the Fourth Proportional to 189.02, 282.83 and 112.01

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Solution

The fourth proportional to 189.02, 282.83 and 112.01 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 282.83 = 112.01 : x
  2. Step 2: Convert to fraction form
    189.02/282.83 = 112.01/x
  3. Step 3: Cross multiply
    189.02x = 282.83 × 112.01
  4. Step 4: Simplify right side
    189.02x = 31,677.81
  5. Step 5: Solve for x
    x = 31,677.81/189.02
  6. Step 6: Final answer
    x = 167.59

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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.