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Finding the Fourth Proportional to 347.76, 517.68 and 345.60

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Solution

The fourth proportional to 347.76, 517.68 and 345.60 is: 514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 517.68 = 345.60 : x
  2. Step 2: Convert to fraction form
    347.76/517.68 = 345.60/x
  3. Step 3: Cross multiply
    347.76x = 517.68 × 345.60
  4. Step 4: Simplify right side
    347.76x = 178,910.21
  5. Step 5: Solve for x
    x = 178,910.21/347.76
  6. Step 6: Final answer
    x = 514.46

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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.