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Finding the Fourth Proportional to 461.88, 638.10 and 375.30

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Solution

The fourth proportional to 461.88, 638.10 and 375.30 is: 518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 638.10 = 375.30 : x
  2. Step 2: Convert to fraction form
    461.88/638.10 = 375.30/x
  3. Step 3: Cross multiply
    461.88x = 638.10 × 375.30
  4. Step 4: Simplify right side
    461.88x = 239,478.93
  5. Step 5: Solve for x
    x = 239,478.93/461.88
  6. Step 6: Final answer
    x = 518.49

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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.