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Finding the Fourth Proportional to 284.56, 428.50 and 208.04

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Solution

The fourth proportional to 284.56, 428.50 and 208.04 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 428.50 = 208.04 : x
  2. Step 2: Convert to fraction form
    284.56/428.50 = 208.04/x
  3. Step 3: Cross multiply
    284.56x = 428.50 × 208.04
  4. Step 4: Simplify right side
    284.56x = 89,145.14
  5. Step 5: Solve for x
    x = 89,145.14/284.56
  6. Step 6: Final answer
    x = 313.27

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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.