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Finding the Fourth Proportional to 290.91, 434.64 and 216.47

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Solution

The fourth proportional to 290.91, 434.64 and 216.47 is: 323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 434.64 = 216.47 : x
  2. Step 2: Convert to fraction form
    290.91/434.64 = 216.47/x
  3. Step 3: Cross multiply
    290.91x = 434.64 × 216.47
  4. Step 4: Simplify right side
    290.91x = 94,086.52
  5. Step 5: Solve for x
    x = 94,086.52/290.91
  6. Step 6: Final answer
    x = 323.42

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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.