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Finding the Fourth Proportional to 339.96, 509.99 and 123.51

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Solution

The fourth proportional to 339.96, 509.99 and 123.51 is: 185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 509.99 = 123.51 : x
  2. Step 2: Convert to fraction form
    339.96/509.99 = 123.51/x
  3. Step 3: Cross multiply
    339.96x = 509.99 × 123.51
  4. Step 4: Simplify right side
    339.96x = 62,988.25
  5. Step 5: Solve for x
    x = 62,988.25/339.96
  6. Step 6: Final answer
    x = 185.28

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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.