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Finding the Fourth Proportional to 462.10, 637.48 and 275.49

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Solution

The fourth proportional to 462.10, 637.48 and 275.49 is: 380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 637.48 = 275.49 : x
  2. Step 2: Convert to fraction form
    462.10/637.48 = 275.49/x
  3. Step 3: Cross multiply
    462.10x = 637.48 × 275.49
  4. Step 4: Simplify right side
    462.10x = 175,619.37
  5. Step 5: Solve for x
    x = 175,619.37/462.10
  6. Step 6: Final answer
    x = 380.05

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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.