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Finding the Fourth Proportional to 188.38, 282.95 and 148.14

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Solution

The fourth proportional to 188.38, 282.95 and 148.14 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.38 : 282.95 = 148.14 : x
  2. Step 2: Convert to fraction form
    188.38/282.95 = 148.14/x
  3. Step 3: Cross multiply
    188.38x = 282.95 × 148.14
  4. Step 4: Simplify right side
    188.38x = 41,916.21
  5. Step 5: Solve for x
    x = 41,916.21/188.38
  6. Step 6: Final answer
    x = 222.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.