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Finding the Fourth Proportional to 354.24, 491.14 and 334.80

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Solution

The fourth proportional to 354.24, 491.14 and 334.80 is: 464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 491.14 = 334.80 : x
  2. Step 2: Convert to fraction form
    354.24/491.14 = 334.80/x
  3. Step 3: Cross multiply
    354.24x = 491.14 × 334.80
  4. Step 4: Simplify right side
    354.24x = 164,433.67
  5. Step 5: Solve for x
    x = 164,433.67/354.24
  6. Step 6: Final answer
    x = 464.19

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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.