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Finding the Fourth Proportional to 340.84, 470.28 and 209.88

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Solution

The fourth proportional to 340.84, 470.28 and 209.88 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.84 : 470.28 = 209.88 : x
  2. Step 2: Convert to fraction form
    340.84/470.28 = 209.88/x
  3. Step 3: Cross multiply
    340.84x = 470.28 × 209.88
  4. Step 4: Simplify right side
    340.84x = 98,702.37
  5. Step 5: Solve for x
    x = 98,702.37/340.84
  6. Step 6: Final answer
    x = 289.59

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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.