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Finding the Fourth Proportional to 374.75, 517.82 and 311.64

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Solution

The fourth proportional to 374.75, 517.82 and 311.64 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.75 : 517.82 = 311.64 : x
  2. Step 2: Convert to fraction form
    374.75/517.82 = 311.64/x
  3. Step 3: Cross multiply
    374.75x = 517.82 × 311.64
  4. Step 4: Simplify right side
    374.75x = 161,373.42
  5. Step 5: Solve for x
    x = 161,373.42/374.75
  6. Step 6: Final answer
    x = 430.62

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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.