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Finding the Fourth Proportional to 245.37, 337.78 and 190.09

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Solution

The fourth proportional to 245.37, 337.78 and 190.09 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.37 : 337.78 = 190.09 : x
  2. Step 2: Convert to fraction form
    245.37/337.78 = 190.09/x
  3. Step 3: Cross multiply
    245.37x = 337.78 × 190.09
  4. Step 4: Simplify right side
    245.37x = 64,206.91
  5. Step 5: Solve for x
    x = 64,206.91/245.37
  6. Step 6: Final answer
    x = 261.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.