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Finding the Fourth Proportional to 340.85, 470.22 and 209.81

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Solution

The fourth proportional to 340.85, 470.22 and 209.81 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.85 : 470.22 = 209.81 : x
  2. Step 2: Convert to fraction form
    340.85/470.22 = 209.81/x
  3. Step 3: Cross multiply
    340.85x = 470.22 × 209.81
  4. Step 4: Simplify right side
    340.85x = 98,656.86
  5. Step 5: Solve for x
    x = 98,656.86/340.85
  6. Step 6: Final answer
    x = 289.44

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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.