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Finding the Fourth Proportional to 390.57, 582.27 and 361.41

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Solution

The fourth proportional to 390.57, 582.27 and 361.41 is: 538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 582.27 = 361.41 : x
  2. Step 2: Convert to fraction form
    390.57/582.27 = 361.41/x
  3. Step 3: Cross multiply
    390.57x = 582.27 × 361.41
  4. Step 4: Simplify right side
    390.57x = 210,438.20
  5. Step 5: Solve for x
    x = 210,438.20/390.57
  6. Step 6: Final answer
    x = 538.80

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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.