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Finding the Fourth Proportional to 340.73, 469.97 and 209.81

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Solution

The fourth proportional to 340.73, 469.97 and 209.81 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.73 : 469.97 = 209.81 : x
  2. Step 2: Convert to fraction form
    340.73/469.97 = 209.81/x
  3. Step 3: Cross multiply
    340.73x = 469.97 × 209.81
  4. Step 4: Simplify right side
    340.73x = 98,604.41
  5. Step 5: Solve for x
    x = 98,604.41/340.73
  6. Step 6: Final answer
    x = 289.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.