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Finding the Fourth Proportional to 142.96, 214.39 and 46.75

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Solution

The fourth proportional to 142.96, 214.39 and 46.75 is: 70.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 214.39 = 46.75 : x
  2. Step 2: Convert to fraction form
    142.96/214.39 = 46.75/x
  3. Step 3: Cross multiply
    142.96x = 214.39 × 46.75
  4. Step 4: Simplify right side
    142.96x = 10,022.73
  5. Step 5: Solve for x
    x = 10,022.73/142.96
  6. Step 6: Final answer
    x = 70.11

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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.