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Finding the Fourth Proportional to 289.95, 434.28 and 213.04

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Solution

The fourth proportional to 289.95, 434.28 and 213.04 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.95 : 434.28 = 213.04 : x
  2. Step 2: Convert to fraction form
    289.95/434.28 = 213.04/x
  3. Step 3: Cross multiply
    289.95x = 434.28 × 213.04
  4. Step 4: Simplify right side
    289.95x = 92,519.01
  5. Step 5: Solve for x
    x = 92,519.01/289.95
  6. Step 6: Final answer
    x = 319.09

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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.