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Finding the Fourth Proportional to 245.45, 341 and 243.20

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Solution

The fourth proportional to 245.45, 341 and 243.20 is: 337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.45 : 341 = 243.20 : x
  2. Step 2: Convert to fraction form
    245.45/341 = 243.20/x
  3. Step 3: Cross multiply
    245.45x = 341 × 243.20
  4. Step 4: Simplify right side
    245.45x = 82,931.20
  5. Step 5: Solve for x
    x = 82,931.20/245.45
  6. Step 6: Final answer
    x = 337.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.