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Finding the Fourth Proportional to 146.10, 200.28 and 142.47

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Solution

The fourth proportional to 146.10, 200.28 and 142.47 is: 195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.10 : 200.28 = 142.47 : x
  2. Step 2: Convert to fraction form
    146.10/200.28 = 142.47/x
  3. Step 3: Cross multiply
    146.10x = 200.28 × 142.47
  4. Step 4: Simplify right side
    146.10x = 28,533.89
  5. Step 5: Solve for x
    x = 28,533.89/146.10
  6. Step 6: Final answer
    x = 195.30

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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.