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Finding the Fourth Proportional to 340.98, 470.54 and 209.96

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Solution

The fourth proportional to 340.98, 470.54 and 209.96 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 470.54 = 209.96 : x
  2. Step 2: Convert to fraction form
    340.98/470.54 = 209.96/x
  3. Step 3: Cross multiply
    340.98x = 470.54 × 209.96
  4. Step 4: Simplify right side
    340.98x = 98,794.52
  5. Step 5: Solve for x
    x = 98,794.52/340.98
  6. Step 6: Final answer
    x = 289.74

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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.