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Finding the Fourth Proportional to 390.59, 535.78 and 382.49

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Solution

The fourth proportional to 390.59, 535.78 and 382.49 is: 524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.59 : 535.78 = 382.49 : x
  2. Step 2: Convert to fraction form
    390.59/535.78 = 382.49/x
  3. Step 3: Cross multiply
    390.59x = 535.78 × 382.49
  4. Step 4: Simplify right side
    390.59x = 204,930.49
  5. Step 5: Solve for x
    x = 204,930.49/390.59
  6. Step 6: Final answer
    x = 524.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.