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Finding the Fourth Proportional to 462.84, 639.26 and 338.30

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Solution

The fourth proportional to 462.84, 639.26 and 338.30 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 639.26 = 338.30 : x
  2. Step 2: Convert to fraction form
    462.84/639.26 = 338.30/x
  3. Step 3: Cross multiply
    462.84x = 639.26 × 338.30
  4. Step 4: Simplify right side
    462.84x = 216,261.66
  5. Step 5: Solve for x
    x = 216,261.66/462.84
  6. Step 6: Final answer
    x = 467.25

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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.