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Finding the Fourth Proportional to 207.56, 285.54 and 174.60

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Solution

The fourth proportional to 207.56, 285.54 and 174.60 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 285.54 = 174.60 : x
  2. Step 2: Convert to fraction form
    207.56/285.54 = 174.60/x
  3. Step 3: Cross multiply
    207.56x = 285.54 × 174.60
  4. Step 4: Simplify right side
    207.56x = 49,855.28
  5. Step 5: Solve for x
    x = 49,855.28/207.56
  6. Step 6: Final answer
    x = 240.20

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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.