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Finding the Fourth Proportional to 622.94, 934.47 and 206.42

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Solution

The fourth proportional to 622.94, 934.47 and 206.42 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 934.47 = 206.42 : x
  2. Step 2: Convert to fraction form
    622.94/934.47 = 206.42/x
  3. Step 3: Cross multiply
    622.94x = 934.47 × 206.42
  4. Step 4: Simplify right side
    622.94x = 192,888.63
  5. Step 5: Solve for x
    x = 192,888.63/622.94
  6. Step 6: Final answer
    x = 309.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.