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Finding the Fourth Proportional to 286.83, 428.60 and 216.01

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Solution

The fourth proportional to 286.83, 428.60 and 216.01 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 428.60 = 216.01 : x
  2. Step 2: Convert to fraction form
    286.83/428.60 = 216.01/x
  3. Step 3: Cross multiply
    286.83x = 428.60 × 216.01
  4. Step 4: Simplify right side
    286.83x = 92,581.89
  5. Step 5: Solve for x
    x = 92,581.89/286.83
  6. Step 6: Final answer
    x = 322.78

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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.