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Finding the Fourth Proportional to 354.08, 527.59 and 338.36

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Solution

The fourth proportional to 354.08, 527.59 and 338.36 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 527.59 = 338.36 : x
  2. Step 2: Convert to fraction form
    354.08/527.59 = 338.36/x
  3. Step 3: Cross multiply
    354.08x = 527.59 × 338.36
  4. Step 4: Simplify right side
    354.08x = 178,515.35
  5. Step 5: Solve for x
    x = 178,515.35/354.08
  6. Step 6: Final answer
    x = 504.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.