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Finding the Fourth Proportional to 145.19, 199.46 and 140.03

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Solution

The fourth proportional to 145.19, 199.46 and 140.03 is: 192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 199.46 = 140.03 : x
  2. Step 2: Convert to fraction form
    145.19/199.46 = 140.03/x
  3. Step 3: Cross multiply
    145.19x = 199.46 × 140.03
  4. Step 4: Simplify right side
    145.19x = 27,930.48
  5. Step 5: Solve for x
    x = 27,930.48/145.19
  6. Step 6: Final answer
    x = 192.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.