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Finding the Fourth Proportional to 284.58, 428.39 and 219.93

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Solution

The fourth proportional to 284.58, 428.39 and 219.93 is: 331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 428.39 = 219.93 : x
  2. Step 2: Convert to fraction form
    284.58/428.39 = 219.93/x
  3. Step 3: Cross multiply
    284.58x = 428.39 × 219.93
  4. Step 4: Simplify right side
    284.58x = 94,213.93
  5. Step 5: Solve for x
    x = 94,213.93/284.58
  6. Step 6: Final answer
    x = 331.06

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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.