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Finding the Fourth Proportional to 339.49, 508.93 and 185.49

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Solution

The fourth proportional to 339.49, 508.93 and 185.49 is: 278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 508.93 = 185.49 : x
  2. Step 2: Convert to fraction form
    339.49/508.93 = 185.49/x
  3. Step 3: Cross multiply
    339.49x = 508.93 × 185.49
  4. Step 4: Simplify right side
    339.49x = 94,400.96
  5. Step 5: Solve for x
    x = 94,400.96/339.49
  6. Step 6: Final answer
    x = 278.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.