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Finding the Fourth Proportional to 416.17, 573.78 and 284.95

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Solution

The fourth proportional to 416.17, 573.78 and 284.95 is: 392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 573.78 = 284.95 : x
  2. Step 2: Convert to fraction form
    416.17/573.78 = 284.95/x
  3. Step 3: Cross multiply
    416.17x = 573.78 × 284.95
  4. Step 4: Simplify right side
    416.17x = 163,498.61
  5. Step 5: Solve for x
    x = 163,498.61/416.17
  6. Step 6: Final answer
    x = 392.86

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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.