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Finding the Fourth Proportional to 245.97, 339.80 and 202.77

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Solution

The fourth proportional to 245.97, 339.80 and 202.77 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 339.80 = 202.77 : x
  2. Step 2: Convert to fraction form
    245.97/339.80 = 202.77/x
  3. Step 3: Cross multiply
    245.97x = 339.80 × 202.77
  4. Step 4: Simplify right side
    245.97x = 68,900.23
  5. Step 5: Solve for x
    x = 68,900.23/245.97
  6. Step 6: Final answer
    x = 280.12

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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.