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Finding the Fourth Proportional to 212.94, 318.15 and 205.77

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Solution

The fourth proportional to 212.94, 318.15 and 205.77 is: 307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 318.15 = 205.77 : x
  2. Step 2: Convert to fraction form
    212.94/318.15 = 205.77/x
  3. Step 3: Cross multiply
    212.94x = 318.15 × 205.77
  4. Step 4: Simplify right side
    212.94x = 65,465.73
  5. Step 5: Solve for x
    x = 65,465.73/212.94
  6. Step 6: Final answer
    x = 307.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.