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Finding the Fourth Proportional to 375.84, 516.48 and 305.76

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Solution

The fourth proportional to 375.84, 516.48 and 305.76 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 516.48 = 305.76 : x
  2. Step 2: Convert to fraction form
    375.84/516.48 = 305.76/x
  3. Step 3: Cross multiply
    375.84x = 516.48 × 305.76
  4. Step 4: Simplify right side
    375.84x = 157,918.92
  5. Step 5: Solve for x
    x = 157,918.92/375.84
  6. Step 6: Final answer
    x = 420.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.