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Finding the Fourth Proportional to 451.92, 678.06 and 259.50

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Solution

The fourth proportional to 451.92, 678.06 and 259.50 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 678.06 = 259.50 : x
  2. Step 2: Convert to fraction form
    451.92/678.06 = 259.50/x
  3. Step 3: Cross multiply
    451.92x = 678.06 × 259.50
  4. Step 4: Simplify right side
    451.92x = 175,956.57
  5. Step 5: Solve for x
    x = 175,956.57/451.92
  6. Step 6: Final answer
    x = 389.35

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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.