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Finding the Fourth Proportional to 661.24, 991.91 and 198.98

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Solution

The fourth proportional to 661.24, 991.91 and 198.98 is: 298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.24 : 991.91 = 198.98 : x
  2. Step 2: Convert to fraction form
    661.24/991.91 = 198.98/x
  3. Step 3: Cross multiply
    661.24x = 991.91 × 198.98
  4. Step 4: Simplify right side
    661.24x = 197,371.74
  5. Step 5: Solve for x
    x = 197,371.74/661.24
  6. Step 6: Final answer
    x = 298.49

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1.5x scale

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.