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Finding the Fourth Proportional to 188.95, 282.30 and 182.57

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Solution

The fourth proportional to 188.95, 282.30 and 182.57 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 282.30 = 182.57 : x
  2. Step 2: Convert to fraction form
    188.95/282.30 = 182.57/x
  3. Step 3: Cross multiply
    188.95x = 282.30 × 182.57
  4. Step 4: Simplify right side
    188.95x = 51,539.51
  5. Step 5: Solve for x
    x = 51,539.51/188.95
  6. Step 6: Final answer
    x = 272.77

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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.