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Finding the Fourth Proportional to 284.94, 427.46 and 111.69

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Solution

The fourth proportional to 284.94, 427.46 and 111.69 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.94 : 427.46 = 111.69 : x
  2. Step 2: Convert to fraction form
    284.94/427.46 = 111.69/x
  3. Step 3: Cross multiply
    284.94x = 427.46 × 111.69
  4. Step 4: Simplify right side
    284.94x = 47,742.45
  5. Step 5: Solve for x
    x = 47,742.45/284.94
  6. Step 6: Final answer
    x = 167.55

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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.