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Finding the Fourth Proportional to 446.10, 668.38 and 348.56

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Solution

The fourth proportional to 446.10, 668.38 and 348.56 is: 522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.10 : 668.38 = 348.56 : x
  2. Step 2: Convert to fraction form
    446.10/668.38 = 348.56/x
  3. Step 3: Cross multiply
    446.10x = 668.38 × 348.56
  4. Step 4: Simplify right side
    446.10x = 232,970.53
  5. Step 5: Solve for x
    x = 232,970.53/446.10
  6. Step 6: Final answer
    x = 522.24

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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.