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Finding the Fourth Proportional to 461.19, 635.82 and 382.22

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Solution

The fourth proportional to 461.19, 635.82 and 382.22 is: 526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.19 : 635.82 = 382.22 : x
  2. Step 2: Convert to fraction form
    461.19/635.82 = 382.22/x
  3. Step 3: Cross multiply
    461.19x = 635.82 × 382.22
  4. Step 4: Simplify right side
    461.19x = 243,019.94
  5. Step 5: Solve for x
    x = 243,019.94/461.19
  6. Step 6: Final answer
    x = 526.94

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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.