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Finding the Fourth Proportional to 189.51, 282.82 and 169

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Solution

The fourth proportional to 189.51, 282.82 and 169 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.51 : 282.82 = 169 : x
  2. Step 2: Convert to fraction form
    189.51/282.82 = 169/x
  3. Step 3: Cross multiply
    189.51x = 282.82 × 169
  4. Step 4: Simplify right side
    189.51x = 47,796.58
  5. Step 5: Solve for x
    x = 47,796.58/189.51
  6. Step 6: Final answer
    x = 252.21

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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.