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Finding the Fourth Proportional to 364.88, 548.17 and 345.22

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Solution

The fourth proportional to 364.88, 548.17 and 345.22 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 548.17 = 345.22 : x
  2. Step 2: Convert to fraction form
    364.88/548.17 = 345.22/x
  3. Step 3: Cross multiply
    364.88x = 548.17 × 345.22
  4. Step 4: Simplify right side
    364.88x = 189,239.25
  5. Step 5: Solve for x
    x = 189,239.25/364.88
  6. Step 6: Final answer
    x = 518.63

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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.