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Finding the Fourth Proportional to 338.00, 463.88 and 328.88

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Solution

The fourth proportional to 338.00, 463.88 and 328.88 is: 451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 463.88 = 328.88 : x
  2. Step 2: Convert to fraction form
    338.00/463.88 = 328.88/x
  3. Step 3: Cross multiply
    338.00x = 463.88 × 328.88
  4. Step 4: Simplify right side
    338.00x = 152,562.84
  5. Step 5: Solve for x
    x = 152,562.84/338.00
  6. Step 6: Final answer
    x = 451.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.