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Finding the Fourth Proportional to 349.05, 522.57 and 337.53

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Solution

The fourth proportional to 349.05, 522.57 and 337.53 is: 505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.05 : 522.57 = 337.53 : x
  2. Step 2: Convert to fraction form
    349.05/522.57 = 337.53/x
  3. Step 3: Cross multiply
    349.05x = 522.57 × 337.53
  4. Step 4: Simplify right side
    349.05x = 176,383.05
  5. Step 5: Solve for x
    x = 176,383.05/349.05
  6. Step 6: Final answer
    x = 505.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.