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Finding the Fourth Proportional to 339.59, 469.45 and 309.22

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Solution

The fourth proportional to 339.59, 469.45 and 309.22 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.59 : 469.45 = 309.22 : x
  2. Step 2: Convert to fraction form
    339.59/469.45 = 309.22/x
  3. Step 3: Cross multiply
    339.59x = 469.45 × 309.22
  4. Step 4: Simplify right side
    339.59x = 145,160.80
  5. Step 5: Solve for x
    x = 145,160.80/339.59
  6. Step 6: Final answer
    x = 427.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.