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Finding the Fourth Proportional to 461.12, 635.38 and 313.49

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Solution

The fourth proportional to 461.12, 635.38 and 313.49 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 635.38 = 313.49 : x
  2. Step 2: Convert to fraction form
    461.12/635.38 = 313.49/x
  3. Step 3: Cross multiply
    461.12x = 635.38 × 313.49
  4. Step 4: Simplify right side
    461.12x = 199,186.08
  5. Step 5: Solve for x
    x = 199,186.08/461.12
  6. Step 6: Final answer
    x = 431.97

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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.