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Finding the Fourth Proportional to 390.62, 582.90 and 367.23

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Solution

The fourth proportional to 390.62, 582.90 and 367.23 is: 547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.62 : 582.90 = 367.23 : x
  2. Step 2: Convert to fraction form
    390.62/582.90 = 367.23/x
  3. Step 3: Cross multiply
    390.62x = 582.90 × 367.23
  4. Step 4: Simplify right side
    390.62x = 214,059.18
  5. Step 5: Solve for x
    x = 214,059.18/390.62
  6. Step 6: Final answer
    x = 547.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.