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Finding the Fourth Proportional to 189.58, 282.93 and 169.08

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Solution

The fourth proportional to 189.58, 282.93 and 169.08 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 282.93 = 169.08 : x
  2. Step 2: Convert to fraction form
    189.58/282.93 = 169.08/x
  3. Step 3: Cross multiply
    189.58x = 282.93 × 169.08
  4. Step 4: Simplify right side
    189.58x = 47,837.80
  5. Step 5: Solve for x
    x = 47,837.80/189.58
  6. Step 6: Final answer
    x = 252.34

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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.