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Finding the Fourth Proportional to 384.46, 574.31 and 345.88

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Solution

The fourth proportional to 384.46, 574.31 and 345.88 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.46 : 574.31 = 345.88 : x
  2. Step 2: Convert to fraction form
    384.46/574.31 = 345.88/x
  3. Step 3: Cross multiply
    384.46x = 574.31 × 345.88
  4. Step 4: Simplify right side
    384.46x = 198,642.34
  5. Step 5: Solve for x
    x = 198,642.34/384.46
  6. Step 6: Final answer
    x = 516.68

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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.