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Finding the Fourth Proportional to 347.60, 478.22 and 345.98

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Solution

The fourth proportional to 347.60, 478.22 and 345.98 is: 475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 478.22 = 345.98 : x
  2. Step 2: Convert to fraction form
    347.60/478.22 = 345.98/x
  3. Step 3: Cross multiply
    347.60x = 478.22 × 345.98
  4. Step 4: Simplify right side
    347.60x = 165,454.56
  5. Step 5: Solve for x
    x = 165,454.56/347.60
  6. Step 6: Final answer
    x = 475.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.