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Finding the Fourth Proportional to 145.24, 201.42 and 140.80

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Solution

The fourth proportional to 145.24, 201.42 and 140.80 is: 195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 201.42 = 140.80 : x
  2. Step 2: Convert to fraction form
    145.24/201.42 = 140.80/x
  3. Step 3: Cross multiply
    145.24x = 201.42 × 140.80
  4. Step 4: Simplify right side
    145.24x = 28,359.94
  5. Step 5: Solve for x
    x = 28,359.94/145.24
  6. Step 6: Final answer
    x = 195.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.