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Finding the Fourth Proportional to 340.18, 512.64 and 323.70

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Solution

The fourth proportional to 340.18, 512.64 and 323.70 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.18 : 512.64 = 323.70 : x
  2. Step 2: Convert to fraction form
    340.18/512.64 = 323.70/x
  3. Step 3: Cross multiply
    340.18x = 512.64 × 323.70
  4. Step 4: Simplify right side
    340.18x = 165,941.57
  5. Step 5: Solve for x
    x = 165,941.57/340.18
  6. Step 6: Final answer
    x = 487.81

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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.