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Finding the Fourth Proportional to 285.59, 393.82 and 175.03

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Solution

The fourth proportional to 285.59, 393.82 and 175.03 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.59 : 393.82 = 175.03 : x
  2. Step 2: Convert to fraction form
    285.59/393.82 = 175.03/x
  3. Step 3: Cross multiply
    285.59x = 393.82 × 175.03
  4. Step 4: Simplify right side
    285.59x = 68,930.31
  5. Step 5: Solve for x
    x = 68,930.31/285.59
  6. Step 6: Final answer
    x = 241.36

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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.