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Finding the Fourth Proportional to 145.00, 199.97 and 126.54

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Solution

The fourth proportional to 145.00, 199.97 and 126.54 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.00 : 199.97 = 126.54 : x
  2. Step 2: Convert to fraction form
    145.00/199.97 = 126.54/x
  3. Step 3: Cross multiply
    145.00x = 199.97 × 126.54
  4. Step 4: Simplify right side
    145.00x = 25,303.07
  5. Step 5: Solve for x
    x = 25,303.07/145.00
  6. Step 6: Final answer
    x = 174.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.