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Finding the Fourth Proportional to 461.03, 636.72 and 314.06

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Solution

The fourth proportional to 461.03, 636.72 and 314.06 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.03 : 636.72 = 314.06 : x
  2. Step 2: Convert to fraction form
    461.03/636.72 = 314.06/x
  3. Step 3: Cross multiply
    461.03x = 636.72 × 314.06
  4. Step 4: Simplify right side
    461.03x = 199,968.28
  5. Step 5: Solve for x
    x = 199,968.28/461.03
  6. Step 6: Final answer
    x = 433.74

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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.