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Finding the Fourth Proportional to 347.53, 521.13 and 193.09

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Solution

The fourth proportional to 347.53, 521.13 and 193.09 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.53 : 521.13 = 193.09 : x
  2. Step 2: Convert to fraction form
    347.53/521.13 = 193.09/x
  3. Step 3: Cross multiply
    347.53x = 521.13 × 193.09
  4. Step 4: Simplify right side
    347.53x = 100,624.99
  5. Step 5: Solve for x
    x = 100,624.99/347.53
  6. Step 6: Final answer
    x = 289.54

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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.