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Finding the Fourth Proportional to 661.57, 991.64 and 250.43

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Solution

The fourth proportional to 661.57, 991.64 and 250.43 is: 375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.57 : 991.64 = 250.43 : x
  2. Step 2: Convert to fraction form
    661.57/991.64 = 250.43/x
  3. Step 3: Cross multiply
    661.57x = 991.64 × 250.43
  4. Step 4: Simplify right side
    661.57x = 248,332.07
  5. Step 5: Solve for x
    x = 248,332.07/661.57
  6. Step 6: Final answer
    x = 375.37

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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.