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Finding the Fourth Proportional to 462.47, 638.18 and 266.00

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Solution

The fourth proportional to 462.47, 638.18 and 266.00 is: 367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 638.18 = 266.00 : x
  2. Step 2: Convert to fraction form
    462.47/638.18 = 266.00/x
  3. Step 3: Cross multiply
    462.47x = 638.18 × 266.00
  4. Step 4: Simplify right side
    462.47x = 169,753.35
  5. Step 5: Solve for x
    x = 169,753.35/462.47
  6. Step 6: Final answer
    x = 367.06

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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.