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Finding the Fourth Proportional to 289.40, 434.24 and 145.12

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Solution

The fourth proportional to 289.40, 434.24 and 145.12 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 434.24 = 145.12 : x
  2. Step 2: Convert to fraction form
    289.40/434.24 = 145.12/x
  3. Step 3: Cross multiply
    289.40x = 434.24 × 145.12
  4. Step 4: Simplify right side
    289.40x = 63,016.91
  5. Step 5: Solve for x
    x = 63,016.91/289.40
  6. Step 6: Final answer
    x = 217.75

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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.