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Finding the Fourth Proportional to 374.88, 517.60 and 235.22

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Solution

The fourth proportional to 374.88, 517.60 and 235.22 is: 324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 517.60 = 235.22 : x
  2. Step 2: Convert to fraction form
    374.88/517.60 = 235.22/x
  3. Step 3: Cross multiply
    374.88x = 517.60 × 235.22
  4. Step 4: Simplify right side
    374.88x = 121,749.87
  5. Step 5: Solve for x
    x = 121,749.87/374.88
  6. Step 6: Final answer
    x = 324.77

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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.