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Finding the Fourth Proportional to 285.20, 427.72 and 123.06

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Solution

The fourth proportional to 285.20, 427.72 and 123.06 is: 184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 427.72 = 123.06 : x
  2. Step 2: Convert to fraction form
    285.20/427.72 = 123.06/x
  3. Step 3: Cross multiply
    285.20x = 427.72 × 123.06
  4. Step 4: Simplify right side
    285.20x = 52,635.22
  5. Step 5: Solve for x
    x = 52,635.22/285.20
  6. Step 6: Final answer
    x = 184.56

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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.