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Finding the Fourth Proportional to 374.96, 517.56 and 320.24

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Solution

The fourth proportional to 374.96, 517.56 and 320.24 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.96 : 517.56 = 320.24 : x
  2. Step 2: Convert to fraction form
    374.96/517.56 = 320.24/x
  3. Step 3: Cross multiply
    374.96x = 517.56 × 320.24
  4. Step 4: Simplify right side
    374.96x = 165,743.41
  5. Step 5: Solve for x
    x = 165,743.41/374.96
  6. Step 6: Final answer
    x = 442.03

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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.