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Finding the Fourth Proportional to 426.96, 589.08 and 279.60

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Solution

The fourth proportional to 426.96, 589.08 and 279.60 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 589.08 = 279.60 : x
  2. Step 2: Convert to fraction form
    426.96/589.08 = 279.60/x
  3. Step 3: Cross multiply
    426.96x = 589.08 × 279.60
  4. Step 4: Simplify right side
    426.96x = 164,706.77
  5. Step 5: Solve for x
    x = 164,706.77/426.96
  6. Step 6: Final answer
    x = 385.77

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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.