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Finding the Fourth Proportional to 285.52, 427.70 and 175.49

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Solution

The fourth proportional to 285.52, 427.70 and 175.49 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 427.70 = 175.49 : x
  2. Step 2: Convert to fraction form
    285.52/427.70 = 175.49/x
  3. Step 3: Cross multiply
    285.52x = 427.70 × 175.49
  4. Step 4: Simplify right side
    285.52x = 75,057.07
  5. Step 5: Solve for x
    x = 75,057.07/285.52
  6. Step 6: Final answer
    x = 262.88

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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.