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Finding the Fourth Proportional to 343.59, 513.83 and 298.64

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Solution

The fourth proportional to 343.59, 513.83 and 298.64 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 513.83 = 298.64 : x
  2. Step 2: Convert to fraction form
    343.59/513.83 = 298.64/x
  3. Step 3: Cross multiply
    343.59x = 513.83 × 298.64
  4. Step 4: Simplify right side
    343.59x = 153,446.13
  5. Step 5: Solve for x
    x = 153,446.13/343.59
  6. Step 6: Final answer
    x = 446.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.