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Finding the Fourth Proportional to 461.88, 637.26 and 275.28

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Solution

The fourth proportional to 461.88, 637.26 and 275.28 is: 379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 637.26 = 275.28 : x
  2. Step 2: Convert to fraction form
    461.88/637.26 = 275.28/x
  3. Step 3: Cross multiply
    461.88x = 637.26 × 275.28
  4. Step 4: Simplify right side
    461.88x = 175,424.93
  5. Step 5: Solve for x
    x = 175,424.93/461.88
  6. Step 6: Final answer
    x = 379.81

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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.