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Finding the Fourth Proportional to 339.80, 511.54 and 309.56

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Solution

The fourth proportional to 339.80, 511.54 and 309.56 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 511.54 = 309.56 : x
  2. Step 2: Convert to fraction form
    339.80/511.54 = 309.56/x
  3. Step 3: Cross multiply
    339.80x = 511.54 × 309.56
  4. Step 4: Simplify right side
    339.80x = 158,352.32
  5. Step 5: Solve for x
    x = 158,352.32/339.80
  6. Step 6: Final answer
    x = 466.02

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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.