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Finding the Fourth Proportional to 375.04, 516.66 and 311.78

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Solution

The fourth proportional to 375.04, 516.66 and 311.78 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.04 : 516.66 = 311.78 : x
  2. Step 2: Convert to fraction form
    375.04/516.66 = 311.78/x
  3. Step 3: Cross multiply
    375.04x = 516.66 × 311.78
  4. Step 4: Simplify right side
    375.04x = 161,084.25
  5. Step 5: Solve for x
    x = 161,084.25/375.04
  6. Step 6: Final answer
    x = 429.51

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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.