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Finding the Fourth Proportional to 451.89, 678.14 and 205.17

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Solution

The fourth proportional to 451.89, 678.14 and 205.17 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.89 : 678.14 = 205.17 : x
  2. Step 2: Convert to fraction form
    451.89/678.14 = 205.17/x
  3. Step 3: Cross multiply
    451.89x = 678.14 × 205.17
  4. Step 4: Simplify right side
    451.89x = 139,133.98
  5. Step 5: Solve for x
    x = 139,133.98/451.89
  6. Step 6: Final answer
    x = 307.89

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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.