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Finding the Fourth Proportional to 145.75, 217.67 and 137.86

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Solution

The fourth proportional to 145.75, 217.67 and 137.86 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.75 : 217.67 = 137.86 : x
  2. Step 2: Convert to fraction form
    145.75/217.67 = 137.86/x
  3. Step 3: Cross multiply
    145.75x = 217.67 × 137.86
  4. Step 4: Simplify right side
    145.75x = 30,007.99
  5. Step 5: Solve for x
    x = 30,007.99/145.75
  6. Step 6: Final answer
    x = 205.89

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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.