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Finding the Fourth Proportional to 189.67, 282.92 and 186.53

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Solution

The fourth proportional to 189.67, 282.92 and 186.53 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.67 : 282.92 = 186.53 : x
  2. Step 2: Convert to fraction form
    189.67/282.92 = 186.53/x
  3. Step 3: Cross multiply
    189.67x = 282.92 × 186.53
  4. Step 4: Simplify right side
    189.67x = 52,772.13
  5. Step 5: Solve for x
    x = 52,772.13/189.67
  6. Step 6: Final answer
    x = 278.24

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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.