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Finding the Fourth Proportional to 384.85, 574.09 and 343.85

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Solution

The fourth proportional to 384.85, 574.09 and 343.85 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 574.09 = 343.85 : x
  2. Step 2: Convert to fraction form
    384.85/574.09 = 343.85/x
  3. Step 3: Cross multiply
    384.85x = 574.09 × 343.85
  4. Step 4: Simplify right side
    384.85x = 197,397.12
  5. Step 5: Solve for x
    x = 197,397.12/384.85
  6. Step 6: Final answer
    x = 512.92

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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.