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Finding the Fourth Proportional to 423.39, 582.75 and 361.02

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Solution

The fourth proportional to 423.39, 582.75 and 361.02 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 582.75 = 361.02 : x
  2. Step 2: Convert to fraction form
    423.39/582.75 = 361.02/x
  3. Step 3: Cross multiply
    423.39x = 582.75 × 361.02
  4. Step 4: Simplify right side
    423.39x = 210,384.41
  5. Step 5: Solve for x
    x = 210,384.41/423.39
  6. Step 6: Final answer
    x = 496.90

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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.