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Finding the Fourth Proportional to 245.50, 338.40 and 186.30

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Solution

The fourth proportional to 245.50, 338.40 and 186.30 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.50 : 338.40 = 186.30 : x
  2. Step 2: Convert to fraction form
    245.50/338.40 = 186.30/x
  3. Step 3: Cross multiply
    245.50x = 338.40 × 186.30
  4. Step 4: Simplify right side
    245.50x = 63,043.92
  5. Step 5: Solve for x
    x = 63,043.92/245.50
  6. Step 6: Final answer
    x = 256.80

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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.