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Finding the Fourth Proportional to 440.30, 660.36 and 311.48

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Solution

The fourth proportional to 440.30, 660.36 and 311.48 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.30 : 660.36 = 311.48 : x
  2. Step 2: Convert to fraction form
    440.30/660.36 = 311.48/x
  3. Step 3: Cross multiply
    440.30x = 660.36 × 311.48
  4. Step 4: Simplify right side
    440.30x = 205,688.93
  5. Step 5: Solve for x
    x = 205,688.93/440.30
  6. Step 6: Final answer
    x = 467.16

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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.