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Finding the Fourth Proportional to 145.46, 202.13 and 143.97

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Solution

The fourth proportional to 145.46, 202.13 and 143.97 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 202.13 = 143.97 : x
  2. Step 2: Convert to fraction form
    145.46/202.13 = 143.97/x
  3. Step 3: Cross multiply
    145.46x = 202.13 × 143.97
  4. Step 4: Simplify right side
    145.46x = 29,100.66
  5. Step 5: Solve for x
    x = 29,100.66/145.46
  6. Step 6: Final answer
    x = 200.06

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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.