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Finding the Fourth Proportional to 446.34, 670.04 and 348.96

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Solution

The fourth proportional to 446.34, 670.04 and 348.96 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.34 : 670.04 = 348.96 : x
  2. Step 2: Convert to fraction form
    446.34/670.04 = 348.96/x
  3. Step 3: Cross multiply
    446.34x = 670.04 × 348.96
  4. Step 4: Simplify right side
    446.34x = 233,815.41
  5. Step 5: Solve for x
    x = 233,815.41/446.34
  6. Step 6: Final answer
    x = 523.85

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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.