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Finding the Fourth Proportional to 207.77, 313.36 and 205.45

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Solution

The fourth proportional to 207.77, 313.36 and 205.45 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.77 : 313.36 = 205.45 : x
  2. Step 2: Convert to fraction form
    207.77/313.36 = 205.45/x
  3. Step 3: Cross multiply
    207.77x = 313.36 × 205.45
  4. Step 4: Simplify right side
    207.77x = 64,378.67
  5. Step 5: Solve for x
    x = 64,378.67/207.77
  6. Step 6: Final answer
    x = 309.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.