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Finding the Fourth Proportional to 340.58, 470.14 and 209.64

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Solution

The fourth proportional to 340.58, 470.14 and 209.64 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 470.14 = 209.64 : x
  2. Step 2: Convert to fraction form
    340.58/470.14 = 209.64/x
  3. Step 3: Cross multiply
    340.58x = 470.14 × 209.64
  4. Step 4: Simplify right side
    340.58x = 98,560.15
  5. Step 5: Solve for x
    x = 98,560.15/340.58
  6. Step 6: Final answer
    x = 289.39

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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.