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Finding the Fourth Proportional to 373.84, 516.16 and 330.64

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Solution

The fourth proportional to 373.84, 516.16 and 330.64 is: 456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.84 : 516.16 = 330.64 : x
  2. Step 2: Convert to fraction form
    373.84/516.16 = 330.64/x
  3. Step 3: Cross multiply
    373.84x = 516.16 × 330.64
  4. Step 4: Simplify right side
    373.84x = 170,663.14
  5. Step 5: Solve for x
    x = 170,663.14/373.84
  6. Step 6: Final answer
    x = 456.51

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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.