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Finding the Fourth Proportional to 661.06, 992.04 and 276.31

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Solution

The fourth proportional to 661.06, 992.04 and 276.31 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 992.04 = 276.31 : x
  2. Step 2: Convert to fraction form
    661.06/992.04 = 276.31/x
  3. Step 3: Cross multiply
    661.06x = 992.04 × 276.31
  4. Step 4: Simplify right side
    661.06x = 274,110.57
  5. Step 5: Solve for x
    x = 274,110.57/661.06
  6. Step 6: Final answer
    x = 414.65

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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.