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Finding the Fourth Proportional to 343.10, 513.30 and 310.70

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Solution

The fourth proportional to 343.10, 513.30 and 310.70 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 513.30 = 310.70 : x
  2. Step 2: Convert to fraction form
    343.10/513.30 = 310.70/x
  3. Step 3: Cross multiply
    343.10x = 513.30 × 310.70
  4. Step 4: Simplify right side
    343.10x = 159,482.31
  5. Step 5: Solve for x
    x = 159,482.31/343.10
  6. Step 6: Final answer
    x = 464.83

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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.