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Finding the Fourth Proportional to 461.72, 636.96 and 312.40

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Solution

The fourth proportional to 461.72, 636.96 and 312.40 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 636.96 = 312.40 : x
  2. Step 2: Convert to fraction form
    461.72/636.96 = 312.40/x
  3. Step 3: Cross multiply
    461.72x = 636.96 × 312.40
  4. Step 4: Simplify right side
    461.72x = 198,982.05
  5. Step 5: Solve for x
    x = 198,982.05/461.72
  6. Step 6: Final answer
    x = 430.96

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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.