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Finding the Fourth Proportional to 462.44, 638.11 and 266.02

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Solution

The fourth proportional to 462.44, 638.11 and 266.02 is: 367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.44 : 638.11 = 266.02 : x
  2. Step 2: Convert to fraction form
    462.44/638.11 = 266.02/x
  3. Step 3: Cross multiply
    462.44x = 638.11 × 266.02
  4. Step 4: Simplify right side
    462.44x = 169,750.02
  5. Step 5: Solve for x
    x = 169,750.02/462.44
  6. Step 6: Final answer
    x = 367.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.