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Finding the Fourth Proportional to 461.36, 636.06 and 313.74

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Solution

The fourth proportional to 461.36, 636.06 and 313.74 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.36 : 636.06 = 313.74 : x
  2. Step 2: Convert to fraction form
    461.36/636.06 = 313.74/x
  3. Step 3: Cross multiply
    461.36x = 636.06 × 313.74
  4. Step 4: Simplify right side
    461.36x = 199,552.72
  5. Step 5: Solve for x
    x = 199,552.72/461.36
  6. Step 6: Final answer
    x = 432.53

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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.