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Finding the Fourth Proportional to 343.72, 473.12 and 299.98

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Solution

The fourth proportional to 343.72, 473.12 and 299.98 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.72 : 473.12 = 299.98 : x
  2. Step 2: Convert to fraction form
    343.72/473.12 = 299.98/x
  3. Step 3: Cross multiply
    343.72x = 473.12 × 299.98
  4. Step 4: Simplify right side
    343.72x = 141,926.54
  5. Step 5: Solve for x
    x = 141,926.54/343.72
  6. Step 6: Final answer
    x = 412.91

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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.