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Finding the Fourth Proportional to 440.42, 661.01 and 180.90

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Solution

The fourth proportional to 440.42, 661.01 and 180.90 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 661.01 = 180.90 : x
  2. Step 2: Convert to fraction form
    440.42/661.01 = 180.90/x
  3. Step 3: Cross multiply
    440.42x = 661.01 × 180.90
  4. Step 4: Simplify right side
    440.42x = 119,575.80
  5. Step 5: Solve for x
    x = 119,575.80/440.42
  6. Step 6: Final answer
    x = 271.51

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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.