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Finding the Fourth Proportional to 661.01, 991.35 and 270.99

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Solution

The fourth proportional to 661.01, 991.35 and 270.99 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.01 : 991.35 = 270.99 : x
  2. Step 2: Convert to fraction form
    661.01/991.35 = 270.99/x
  3. Step 3: Cross multiply
    661.01x = 991.35 × 270.99
  4. Step 4: Simplify right side
    661.01x = 268,645.94
  5. Step 5: Solve for x
    x = 268,645.94/661.01
  6. Step 6: Final answer
    x = 406.42

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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.