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Finding the Fourth Proportional to 423.06, 633.60 and 276.72

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Solution

The fourth proportional to 423.06, 633.60 and 276.72 is: 414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 633.60 = 276.72 : x
  2. Step 2: Convert to fraction form
    423.06/633.60 = 276.72/x
  3. Step 3: Cross multiply
    423.06x = 633.60 × 276.72
  4. Step 4: Simplify right side
    423.06x = 175,329.79
  5. Step 5: Solve for x
    x = 175,329.79/423.06
  6. Step 6: Final answer
    x = 414.43

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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.