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Finding the Fourth Proportional to 457.20, 684.18 and 310.97

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Solution

The fourth proportional to 457.20, 684.18 and 310.97 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.20 : 684.18 = 310.97 : x
  2. Step 2: Convert to fraction form
    457.20/684.18 = 310.97/x
  3. Step 3: Cross multiply
    457.20x = 684.18 × 310.97
  4. Step 4: Simplify right side
    457.20x = 212,756.03
  5. Step 5: Solve for x
    x = 212,756.03/457.20
  6. Step 6: Final answer
    x = 465.35

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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.