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Finding the Fourth Proportional to 145.05, 217.56 and 143.02

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Solution

The fourth proportional to 145.05, 217.56 and 143.02 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 217.56 = 143.02 : x
  2. Step 2: Convert to fraction form
    145.05/217.56 = 143.02/x
  3. Step 3: Cross multiply
    145.05x = 217.56 × 143.02
  4. Step 4: Simplify right side
    145.05x = 31,115.43
  5. Step 5: Solve for x
    x = 31,115.43/145.05
  6. Step 6: Final answer
    x = 214.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.