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Finding the Fourth Proportional to 284.04, 426.23 and 121.72

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Solution

The fourth proportional to 284.04, 426.23 and 121.72 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 426.23 = 121.72 : x
  2. Step 2: Convert to fraction form
    284.04/426.23 = 121.72/x
  3. Step 3: Cross multiply
    284.04x = 426.23 × 121.72
  4. Step 4: Simplify right side
    284.04x = 51,880.72
  5. Step 5: Solve for x
    x = 51,880.72/284.04
  6. Step 6: Final answer
    x = 182.65

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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.