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Finding the Fourth Proportional to 358.86, 494.87 and 234.63

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Solution

The fourth proportional to 358.86, 494.87 and 234.63 is: 323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.86 : 494.87 = 234.63 : x
  2. Step 2: Convert to fraction form
    358.86/494.87 = 234.63/x
  3. Step 3: Cross multiply
    358.86x = 494.87 × 234.63
  4. Step 4: Simplify right side
    358.86x = 116,111.35
  5. Step 5: Solve for x
    x = 116,111.35/358.86
  6. Step 6: Final answer
    x = 323.56

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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.