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Finding the Fourth Proportional to 380.41, 524.62 and 254.15

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Solution

The fourth proportional to 380.41, 524.62 and 254.15 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.41 : 524.62 = 254.15 : x
  2. Step 2: Convert to fraction form
    380.41/524.62 = 254.15/x
  3. Step 3: Cross multiply
    380.41x = 524.62 × 254.15
  4. Step 4: Simplify right side
    380.41x = 133,332.17
  5. Step 5: Solve for x
    x = 133,332.17/380.41
  6. Step 6: Final answer
    x = 350.50

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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.