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Finding the Fourth Proportional to 457.40, 685.68 and 311.06

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Solution

The fourth proportional to 457.40, 685.68 and 311.06 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 685.68 = 311.06 : x
  2. Step 2: Convert to fraction form
    457.40/685.68 = 311.06/x
  3. Step 3: Cross multiply
    457.40x = 685.68 × 311.06
  4. Step 4: Simplify right side
    457.40x = 213,287.62
  5. Step 5: Solve for x
    x = 213,287.62/457.40
  6. Step 6: Final answer
    x = 466.30

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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.