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Finding the Fourth Proportional to 284.99, 427.13 and 193.46

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Solution

The fourth proportional to 284.99, 427.13 and 193.46 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 427.13 = 193.46 : x
  2. Step 2: Convert to fraction form
    284.99/427.13 = 193.46/x
  3. Step 3: Cross multiply
    284.99x = 427.13 × 193.46
  4. Step 4: Simplify right side
    284.99x = 82,631.60
  5. Step 5: Solve for x
    x = 82,631.60/284.99
  6. Step 6: Final answer
    x = 289.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.