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Finding the Fourth Proportional to 462.60, 637.88 and 338.67

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Solution

The fourth proportional to 462.60, 637.88 and 338.67 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.60 : 637.88 = 338.67 : x
  2. Step 2: Convert to fraction form
    462.60/637.88 = 338.67/x
  3. Step 3: Cross multiply
    462.60x = 637.88 × 338.67
  4. Step 4: Simplify right side
    462.60x = 216,029.13
  5. Step 5: Solve for x
    x = 216,029.13/462.60
  6. Step 6: Final answer
    x = 466.99

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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.