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Finding the Fourth Proportional to 347.76, 521.49 and 116.59

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Solution

The fourth proportional to 347.76, 521.49 and 116.59 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 521.49 = 116.59 : x
  2. Step 2: Convert to fraction form
    347.76/521.49 = 116.59/x
  3. Step 3: Cross multiply
    347.76x = 521.49 × 116.59
  4. Step 4: Simplify right side
    347.76x = 60,800.52
  5. Step 5: Solve for x
    x = 60,800.52/347.76
  6. Step 6: Final answer
    x = 174.83

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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.