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Finding the Fourth Proportional to 144.86, 215.94 and 142.64

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Solution

The fourth proportional to 144.86, 215.94 and 142.64 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.86 : 215.94 = 142.64 : x
  2. Step 2: Convert to fraction form
    144.86/215.94 = 142.64/x
  3. Step 3: Cross multiply
    144.86x = 215.94 × 142.64
  4. Step 4: Simplify right side
    144.86x = 30,800.60
  5. Step 5: Solve for x
    x = 30,800.60/144.86
  6. Step 6: Final answer
    x = 212.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.