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Finding the Fourth Proportional to 289.36, 433.20 and 216.08

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Solution

The fourth proportional to 289.36, 433.20 and 216.08 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 433.20 = 216.08 : x
  2. Step 2: Convert to fraction form
    289.36/433.20 = 216.08/x
  3. Step 3: Cross multiply
    289.36x = 433.20 × 216.08
  4. Step 4: Simplify right side
    289.36x = 93,605.86
  5. Step 5: Solve for x
    x = 93,605.86/289.36
  6. Step 6: Final answer
    x = 323.49

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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.