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Finding the Fourth Proportional to 462.67, 638.33 and 266.13

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Solution

The fourth proportional to 462.67, 638.33 and 266.13 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.67 : 638.33 = 266.13 : x
  2. Step 2: Convert to fraction form
    462.67/638.33 = 266.13/x
  3. Step 3: Cross multiply
    462.67x = 638.33 × 266.13
  4. Step 4: Simplify right side
    462.67x = 169,877.43
  5. Step 5: Solve for x
    x = 169,877.43/462.67
  6. Step 6: Final answer
    x = 367.17

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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.