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Finding the Fourth Proportional to 343.30, 516.82 and 313.06

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Solution

The fourth proportional to 343.30, 516.82 and 313.06 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.30 : 516.82 = 313.06 : x
  2. Step 2: Convert to fraction form
    343.30/516.82 = 313.06/x
  3. Step 3: Cross multiply
    343.30x = 516.82 × 313.06
  4. Step 4: Simplify right side
    343.30x = 161,795.67
  5. Step 5: Solve for x
    x = 161,795.67/343.30
  6. Step 6: Final answer
    x = 471.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.