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Finding the Fourth Proportional to 390.27, 537.83 and 279.55

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Solution

The fourth proportional to 390.27, 537.83 and 279.55 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.27 : 537.83 = 279.55 : x
  2. Step 2: Convert to fraction form
    390.27/537.83 = 279.55/x
  3. Step 3: Cross multiply
    390.27x = 537.83 × 279.55
  4. Step 4: Simplify right side
    390.27x = 150,350.70
  5. Step 5: Solve for x
    x = 150,350.70/390.27
  6. Step 6: Final answer
    x = 385.25

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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.