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Finding the Fourth Proportional to 426.81, 589.05 and 279.48

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Solution

The fourth proportional to 426.81, 589.05 and 279.48 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 589.05 = 279.48 : x
  2. Step 2: Convert to fraction form
    426.81/589.05 = 279.48/x
  3. Step 3: Cross multiply
    426.81x = 589.05 × 279.48
  4. Step 4: Simplify right side
    426.81x = 164,627.69
  5. Step 5: Solve for x
    x = 164,627.69/426.81
  6. Step 6: Final answer
    x = 385.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.