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Finding the Fourth Proportional to 145.05, 198.87 and 142.45

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Solution

The fourth proportional to 145.05, 198.87 and 142.45 is: 195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 198.87 = 142.45 : x
  2. Step 2: Convert to fraction form
    145.05/198.87 = 142.45/x
  3. Step 3: Cross multiply
    145.05x = 198.87 × 142.45
  4. Step 4: Simplify right side
    145.05x = 28,328.00
  5. Step 5: Solve for x
    x = 28,328.00/145.05
  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.