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Finding the Fourth Proportional to 466.44, 643.98 and 311.64

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Solution

The fourth proportional to 466.44, 643.98 and 311.64 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 643.98 = 311.64 : x
  2. Step 2: Convert to fraction form
    466.44/643.98 = 311.64/x
  3. Step 3: Cross multiply
    466.44x = 643.98 × 311.64
  4. Step 4: Simplify right side
    466.44x = 200,689.93
  5. Step 5: Solve for x
    x = 200,689.93/466.44
  6. Step 6: Final answer
    x = 430.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.