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Finding the Fourth Proportional to 275.00, 412.28 and 188.12

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Solution

The fourth proportional to 275.00, 412.28 and 188.12 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.00 : 412.28 = 188.12 : x
  2. Step 2: Convert to fraction form
    275.00/412.28 = 188.12/x
  3. Step 3: Cross multiply
    275.00x = 412.28 × 188.12
  4. Step 4: Simplify right side
    275.00x = 77,558.81
  5. Step 5: Solve for x
    x = 77,558.81/275.00
  6. Step 6: Final answer
    x = 282.03

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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.