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Finding the Fourth Proportional to 373.79, 516.44 and 311.42

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Solution

The fourth proportional to 373.79, 516.44 and 311.42 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.79 : 516.44 = 311.42 : x
  2. Step 2: Convert to fraction form
    373.79/516.44 = 311.42/x
  3. Step 3: Cross multiply
    373.79x = 516.44 × 311.42
  4. Step 4: Simplify right side
    373.79x = 160,829.74
  5. Step 5: Solve for x
    x = 160,829.74/373.79
  6. Step 6: Final answer
    x = 430.27

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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.