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Finding the Fourth Proportional to 339.42, 465.98 and 306.48

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Solution

The fourth proportional to 339.42, 465.98 and 306.48 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 465.98 = 306.48 : x
  2. Step 2: Convert to fraction form
    339.42/465.98 = 306.48/x
  3. Step 3: Cross multiply
    339.42x = 465.98 × 306.48
  4. Step 4: Simplify right side
    339.42x = 142,812.02
  5. Step 5: Solve for x
    x = 142,812.02/339.42
  6. Step 6: Final answer
    x = 420.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.