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Finding the Fourth Proportional to 440.71, 661.32 and 197.21

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Solution

The fourth proportional to 440.71, 661.32 and 197.21 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.71 : 661.32 = 197.21 : x
  2. Step 2: Convert to fraction form
    440.71/661.32 = 197.21/x
  3. Step 3: Cross multiply
    440.71x = 661.32 × 197.21
  4. Step 4: Simplify right side
    440.71x = 130,415.61
  5. Step 5: Solve for x
    x = 130,415.61/440.71
  6. Step 6: Final answer
    x = 295.92

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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.