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Finding the Fourth Proportional to 347.58, 517.23 and 345.96

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Solution

The fourth proportional to 347.58, 517.23 and 345.96 is: 514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.58 : 517.23 = 345.96 : x
  2. Step 2: Convert to fraction form
    347.58/517.23 = 345.96/x
  3. Step 3: Cross multiply
    347.58x = 517.23 × 345.96
  4. Step 4: Simplify right side
    347.58x = 178,940.89
  5. Step 5: Solve for x
    x = 178,940.89/347.58
  6. Step 6: Final answer
    x = 514.82

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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.