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Finding the Fourth Proportional to 340.80, 513.60 and 319.20

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Solution

The fourth proportional to 340.80, 513.60 and 319.20 is: 481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.80 : 513.60 = 319.20 : x
  2. Step 2: Convert to fraction form
    340.80/513.60 = 319.20/x
  3. Step 3: Cross multiply
    340.80x = 513.60 × 319.20
  4. Step 4: Simplify right side
    340.80x = 163,941.12
  5. Step 5: Solve for x
    x = 163,941.12/340.80
  6. Step 6: Final answer
    x = 481.05

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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.