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Finding the Fourth Proportional to 289.04, 433.78 and 212.20

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Solution

The fourth proportional to 289.04, 433.78 and 212.20 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 433.78 = 212.20 : x
  2. Step 2: Convert to fraction form
    289.04/433.78 = 212.20/x
  3. Step 3: Cross multiply
    289.04x = 433.78 × 212.20
  4. Step 4: Simplify right side
    289.04x = 92,048.12
  5. Step 5: Solve for x
    x = 92,048.12/289.04
  6. Step 6: Final answer
    x = 318.46

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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.