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Finding the Fourth Proportional to 189.90, 282.63 and 189.30

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Solution

The fourth proportional to 189.90, 282.63 and 189.30 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 282.63 = 189.30 : x
  2. Step 2: Convert to fraction form
    189.90/282.63 = 189.30/x
  3. Step 3: Cross multiply
    189.90x = 282.63 × 189.30
  4. Step 4: Simplify right side
    189.90x = 53,501.86
  5. Step 5: Solve for x
    x = 53,501.86/189.90
  6. Step 6: Final answer
    x = 281.74

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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.