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Finding the Fourth Proportional to 393.04, 588.60 and 285.52

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Solution

The fourth proportional to 393.04, 588.60 and 285.52 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.04 : 588.60 = 285.52 : x
  2. Step 2: Convert to fraction form
    393.04/588.60 = 285.52/x
  3. Step 3: Cross multiply
    393.04x = 588.60 × 285.52
  4. Step 4: Simplify right side
    393.04x = 168,057.07
  5. Step 5: Solve for x
    x = 168,057.07/393.04
  6. Step 6: Final answer
    x = 427.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.