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Finding the Fourth Proportional to 145.54, 199.42 and 143.38

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Solution

The fourth proportional to 145.54, 199.42 and 143.38 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.54 : 199.42 = 143.38 : x
  2. Step 2: Convert to fraction form
    145.54/199.42 = 143.38/x
  3. Step 3: Cross multiply
    145.54x = 199.42 × 143.38
  4. Step 4: Simplify right side
    145.54x = 28,592.84
  5. Step 5: Solve for x
    x = 28,592.84/145.54
  6. Step 6: Final answer
    x = 196.46

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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.