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Finding the Fourth Proportional to 318.84, 442.25 and 305.40

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Solution

The fourth proportional to 318.84, 442.25 and 305.40 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 442.25 = 305.40 : x
  2. Step 2: Convert to fraction form
    318.84/442.25 = 305.40/x
  3. Step 3: Cross multiply
    318.84x = 442.25 × 305.40
  4. Step 4: Simplify right side
    318.84x = 135,063.15
  5. Step 5: Solve for x
    x = 135,063.15/318.84
  6. Step 6: Final answer
    x = 423.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.