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Finding the Fourth Proportional to 284.83, 427.35 and 120.34

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Solution

The fourth proportional to 284.83, 427.35 and 120.34 is: 180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.83 : 427.35 = 120.34 : x
  2. Step 2: Convert to fraction form
    284.83/427.35 = 120.34/x
  3. Step 3: Cross multiply
    284.83x = 427.35 × 120.34
  4. Step 4: Simplify right side
    284.83x = 51,427.30
  5. Step 5: Solve for x
    x = 51,427.30/284.83
  6. Step 6: Final answer
    x = 180.55

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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.