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Finding the Fourth Proportional to 340.76, 513.71 and 317.27

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Solution

The fourth proportional to 340.76, 513.71 and 317.27 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 513.71 = 317.27 : x
  2. Step 2: Convert to fraction form
    340.76/513.71 = 317.27/x
  3. Step 3: Cross multiply
    340.76x = 513.71 × 317.27
  4. Step 4: Simplify right side
    340.76x = 162,980.62
  5. Step 5: Solve for x
    x = 162,980.62/340.76
  6. Step 6: Final answer
    x = 478.29

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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.