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Finding the Fourth Proportional to 189.92, 282.97 and 177.50

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Solution

The fourth proportional to 189.92, 282.97 and 177.50 is: 264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 282.97 = 177.50 : x
  2. Step 2: Convert to fraction form
    189.92/282.97 = 177.50/x
  3. Step 3: Cross multiply
    189.92x = 282.97 × 177.50
  4. Step 4: Simplify right side
    189.92x = 50,227.18
  5. Step 5: Solve for x
    x = 50,227.18/189.92
  6. Step 6: Final answer
    x = 264.46

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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.