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Finding the Fourth Proportional to 456.41, 681.99 and 344.49

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Solution

The fourth proportional to 456.41, 681.99 and 344.49 is: 514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.41 : 681.99 = 344.49 : x
  2. Step 2: Convert to fraction form
    456.41/681.99 = 344.49/x
  3. Step 3: Cross multiply
    456.41x = 681.99 × 344.49
  4. Step 4: Simplify right side
    456.41x = 234,938.74
  5. Step 5: Solve for x
    x = 234,938.74/456.41
  6. Step 6: Final answer
    x = 514.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.