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Finding the Fourth Proportional to 661.37, 992.05 and 174.38

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Solution

The fourth proportional to 661.37, 992.05 and 174.38 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.37 : 992.05 = 174.38 : x
  2. Step 2: Convert to fraction form
    661.37/992.05 = 174.38/x
  3. Step 3: Cross multiply
    661.37x = 992.05 × 174.38
  4. Step 4: Simplify right side
    661.37x = 172,988.28
  5. Step 5: Solve for x
    x = 172,988.28/661.37
  6. Step 6: Final answer
    x = 261.56

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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.