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Finding the Fourth Proportional to 340.16, 512.37 and 319.64

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Solution

The fourth proportional to 340.16, 512.37 and 319.64 is: 481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 512.37 = 319.64 : x
  2. Step 2: Convert to fraction form
    340.16/512.37 = 319.64/x
  3. Step 3: Cross multiply
    340.16x = 512.37 × 319.64
  4. Step 4: Simplify right side
    340.16x = 163,771.38
  5. Step 5: Solve for x
    x = 163,771.38/340.16
  6. Step 6: Final answer
    x = 481.46

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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.