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Finding the Fourth Proportional to 145.94, 202.77 and 143.98

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Solution

The fourth proportional to 145.94, 202.77 and 143.98 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 202.77 = 143.98 : x
  2. Step 2: Convert to fraction form
    145.94/202.77 = 143.98/x
  3. Step 3: Cross multiply
    145.94x = 202.77 × 143.98
  4. Step 4: Simplify right side
    145.94x = 29,194.32
  5. Step 5: Solve for x
    x = 29,194.32/145.94
  6. Step 6: Final answer
    x = 200.05

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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.