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Finding the Fourth Proportional to 145.20, 198.60 and 141.60

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Solution

The fourth proportional to 145.20, 198.60 and 141.60 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 198.60 = 141.60 : x
  2. Step 2: Convert to fraction form
    145.20/198.60 = 141.60/x
  3. Step 3: Cross multiply
    145.20x = 198.60 × 141.60
  4. Step 4: Simplify right side
    145.20x = 28,121.76
  5. Step 5: Solve for x
    x = 28,121.76/145.20
  6. Step 6: Final answer
    x = 193.68

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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.