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Finding the Fourth Proportional to 343.69, 473.99 and 212.47

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Solution

The fourth proportional to 343.69, 473.99 and 212.47 is: 293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 473.99 = 212.47 : x
  2. Step 2: Convert to fraction form
    343.69/473.99 = 212.47/x
  3. Step 3: Cross multiply
    343.69x = 473.99 × 212.47
  4. Step 4: Simplify right side
    343.69x = 100,708.00
  5. Step 5: Solve for x
    x = 100,708.00/343.69
  6. Step 6: Final answer
    x = 293.02

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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.