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Finding the Fourth Proportional to 462.40, 638.13 and 266.02

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Solution

The fourth proportional to 462.40, 638.13 and 266.02 is: 367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 638.13 = 266.02 : x
  2. Step 2: Convert to fraction form
    462.40/638.13 = 266.02/x
  3. Step 3: Cross multiply
    462.40x = 638.13 × 266.02
  4. Step 4: Simplify right side
    462.40x = 169,755.34
  5. Step 5: Solve for x
    x = 169,755.34/462.40
  6. Step 6: Final answer
    x = 367.12

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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.