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Finding the Fourth Proportional to 343.47, 473.95 and 223.62

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Solution

The fourth proportional to 343.47, 473.95 and 223.62 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.47 : 473.95 = 223.62 : x
  2. Step 2: Convert to fraction form
    343.47/473.95 = 223.62/x
  3. Step 3: Cross multiply
    343.47x = 473.95 × 223.62
  4. Step 4: Simplify right side
    343.47x = 105,984.70
  5. Step 5: Solve for x
    x = 105,984.70/343.47
  6. Step 6: Final answer
    x = 308.57

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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.