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Finding the Fourth Proportional to 462.30, 637.89 and 275.80

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Solution

The fourth proportional to 462.30, 637.89 and 275.80 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 637.89 = 275.80 : x
  2. Step 2: Convert to fraction form
    462.30/637.89 = 275.80/x
  3. Step 3: Cross multiply
    462.30x = 637.89 × 275.80
  4. Step 4: Simplify right side
    462.30x = 175,930.06
  5. Step 5: Solve for x
    x = 175,930.06/462.30
  6. Step 6: Final answer
    x = 380.55

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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.