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Finding the Fourth Proportional to 340.96, 513.28 and 311.20

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Solution

The fourth proportional to 340.96, 513.28 and 311.20 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.96 : 513.28 = 311.20 : x
  2. Step 2: Convert to fraction form
    340.96/513.28 = 311.20/x
  3. Step 3: Cross multiply
    340.96x = 513.28 × 311.20
  4. Step 4: Simplify right side
    340.96x = 159,732.74
  5. Step 5: Solve for x
    x = 159,732.74/340.96
  6. Step 6: Final answer
    x = 468.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.