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Finding the Fourth Proportional to 323.03, 484.58 and 117.65

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Solution

The fourth proportional to 323.03, 484.58 and 117.65 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.03 : 484.58 = 117.65 : x
  2. Step 2: Convert to fraction form
    323.03/484.58 = 117.65/x
  3. Step 3: Cross multiply
    323.03x = 484.58 × 117.65
  4. Step 4: Simplify right side
    323.03x = 57,007.83
  5. Step 5: Solve for x
    x = 57,007.83/323.03
  6. Step 6: Final answer
    x = 176.48

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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.