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Finding the Fourth Proportional to 347.58, 520.53 and 200.88

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Solution

The fourth proportional to 347.58, 520.53 and 200.88 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.58 : 520.53 = 200.88 : x
  2. Step 2: Convert to fraction form
    347.58/520.53 = 200.88/x
  3. Step 3: Cross multiply
    347.58x = 520.53 × 200.88
  4. Step 4: Simplify right side
    347.58x = 104,564.07
  5. Step 5: Solve for x
    x = 104,564.07/347.58
  6. Step 6: Final answer
    x = 300.83

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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.