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Finding the Fourth Proportional to 354.28, 527.34 and 349.08

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Solution

The fourth proportional to 354.28, 527.34 and 349.08 is: 519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.28 : 527.34 = 349.08 : x
  2. Step 2: Convert to fraction form
    354.28/527.34 = 349.08/x
  3. Step 3: Cross multiply
    354.28x = 527.34 × 349.08
  4. Step 4: Simplify right side
    354.28x = 184,083.85
  5. Step 5: Solve for x
    x = 184,083.85/354.28
  6. Step 6: Final answer
    x = 519.60

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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.