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Finding the Fourth Proportional to 145.87, 200.11 and 142.04

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Solution

The fourth proportional to 145.87, 200.11 and 142.04 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.87 : 200.11 = 142.04 : x
  2. Step 2: Convert to fraction form
    145.87/200.11 = 142.04/x
  3. Step 3: Cross multiply
    145.87x = 200.11 × 142.04
  4. Step 4: Simplify right side
    145.87x = 28,422.82
  5. Step 5: Solve for x
    x = 28,422.82/145.87
  6. Step 6: Final answer
    x = 194.85

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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.