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Finding the Fourth Proportional to 345.79, 516.30 and 311.24

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Solution

The fourth proportional to 345.79, 516.30 and 311.24 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.79 : 516.30 = 311.24 : x
  2. Step 2: Convert to fraction form
    345.79/516.30 = 311.24/x
  3. Step 3: Cross multiply
    345.79x = 516.30 × 311.24
  4. Step 4: Simplify right side
    345.79x = 160,693.21
  5. Step 5: Solve for x
    x = 160,693.21/345.79
  6. Step 6: Final answer
    x = 464.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.