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Finding the Fourth Proportional to 284.51, 426.67 and 111.21

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Solution

The fourth proportional to 284.51, 426.67 and 111.21 is: 166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.51 : 426.67 = 111.21 : x
  2. Step 2: Convert to fraction form
    284.51/426.67 = 111.21/x
  3. Step 3: Cross multiply
    284.51x = 426.67 × 111.21
  4. Step 4: Simplify right side
    284.51x = 47,448.09
  5. Step 5: Solve for x
    x = 47,448.09/284.51
  6. Step 6: Final answer
    x = 166.77

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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.