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Finding the Fourth Proportional to 384.75, 574.14 and 343.74

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Solution

The fourth proportional to 384.75, 574.14 and 343.74 is: 512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 574.14 = 343.74 : x
  2. Step 2: Convert to fraction form
    384.75/574.14 = 343.74/x
  3. Step 3: Cross multiply
    384.75x = 574.14 × 343.74
  4. Step 4: Simplify right side
    384.75x = 197,356.39
  5. Step 5: Solve for x
    x = 197,356.39/384.75
  6. Step 6: Final answer
    x = 512.95

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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.