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Finding the Fourth Proportional to 300.60, 416.72 and 284.18

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Solution

The fourth proportional to 300.60, 416.72 and 284.18 is: 393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 416.72 = 284.18 : x
  2. Step 2: Convert to fraction form
    300.60/416.72 = 284.18/x
  3. Step 3: Cross multiply
    300.60x = 416.72 × 284.18
  4. Step 4: Simplify right side
    300.60x = 118,422.12
  5. Step 5: Solve for x
    x = 118,422.12/300.60
  6. Step 6: Final answer
    x = 393.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.