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Finding the Fourth Proportional to 462.69, 638.47 and 266.27

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Solution

The fourth proportional to 462.69, 638.47 and 266.27 is: 367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 638.47 = 266.27 : x
  2. Step 2: Convert to fraction form
    462.69/638.47 = 266.27/x
  3. Step 3: Cross multiply
    462.69x = 638.47 × 266.27
  4. Step 4: Simplify right side
    462.69x = 170,005.41
  5. Step 5: Solve for x
    x = 170,005.41/462.69
  6. Step 6: Final answer
    x = 367.43

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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.