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Finding the Fourth Proportional to 290.39, 433.86 and 216.68

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Solution

The fourth proportional to 290.39, 433.86 and 216.68 is: 323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.39 : 433.86 = 216.68 : x
  2. Step 2: Convert to fraction form
    290.39/433.86 = 216.68/x
  3. Step 3: Cross multiply
    290.39x = 433.86 × 216.68
  4. Step 4: Simplify right side
    290.39x = 94,005.80
  5. Step 5: Solve for x
    x = 94,005.80/290.39
  6. Step 6: Final answer
    x = 323.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.