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Finding the Fourth Proportional to 339.86, 509.12 and 235.49

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Solution

The fourth proportional to 339.86, 509.12 and 235.49 is: 352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 509.12 = 235.49 : x
  2. Step 2: Convert to fraction form
    339.86/509.12 = 235.49/x
  3. Step 3: Cross multiply
    339.86x = 509.12 × 235.49
  4. Step 4: Simplify right side
    339.86x = 119,892.67
  5. Step 5: Solve for x
    x = 119,892.67/339.86
  6. Step 6: Final answer
    x = 352.77

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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.