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Finding the Fourth Proportional to 373.40, 515.42 and 311.94

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Solution

The fourth proportional to 373.40, 515.42 and 311.94 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.40 : 515.42 = 311.94 : x
  2. Step 2: Convert to fraction form
    373.40/515.42 = 311.94/x
  3. Step 3: Cross multiply
    373.40x = 515.42 × 311.94
  4. Step 4: Simplify right side
    373.40x = 160,778.56
  5. Step 5: Solve for x
    x = 160,778.56/373.40
  6. Step 6: Final answer
    x = 430.59

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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.