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Finding the Fourth Proportional to 189.75, 282.58 and 185.70

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Solution

The fourth proportional to 189.75, 282.58 and 185.70 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 282.58 = 185.70 : x
  2. Step 2: Convert to fraction form
    189.75/282.58 = 185.70/x
  3. Step 3: Cross multiply
    189.75x = 282.58 × 185.70
  4. Step 4: Simplify right side
    189.75x = 52,475.11
  5. Step 5: Solve for x
    x = 52,475.11/189.75
  6. Step 6: Final answer
    x = 276.55

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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.