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Finding the Fourth Proportional to 284.97, 429.06 and 250.95

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Solution

The fourth proportional to 284.97, 429.06 and 250.95 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 429.06 = 250.95 : x
  2. Step 2: Convert to fraction form
    284.97/429.06 = 250.95/x
  3. Step 3: Cross multiply
    284.97x = 429.06 × 250.95
  4. Step 4: Simplify right side
    284.97x = 107,672.61
  5. Step 5: Solve for x
    x = 107,672.61/284.97
  6. Step 6: Final answer
    x = 377.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.