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Finding the Fourth Proportional to 245.75, 338.87 and 202.01

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Solution

The fourth proportional to 245.75, 338.87 and 202.01 is: 278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.75 : 338.87 = 202.01 : x
  2. Step 2: Convert to fraction form
    245.75/338.87 = 202.01/x
  3. Step 3: Cross multiply
    245.75x = 338.87 × 202.01
  4. Step 4: Simplify right side
    245.75x = 68,454.12
  5. Step 5: Solve for x
    x = 68,454.12/245.75
  6. Step 6: Final answer
    x = 278.55

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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.