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Finding the Fourth Proportional to 462.65, 638.56 and 305.30

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Solution

The fourth proportional to 462.65, 638.56 and 305.30 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 638.56 = 305.30 : x
  2. Step 2: Convert to fraction form
    462.65/638.56 = 305.30/x
  3. Step 3: Cross multiply
    462.65x = 638.56 × 305.30
  4. Step 4: Simplify right side
    462.65x = 194,949.56
  5. Step 5: Solve for x
    x = 194,949.56/462.65
  6. Step 6: Final answer
    x = 421.38

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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.