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Finding the Fourth Proportional to 289.50, 434.02 and 150.68

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Solution

The fourth proportional to 289.50, 434.02 and 150.68 is: 225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 434.02 = 150.68 : x
  2. Step 2: Convert to fraction form
    289.50/434.02 = 150.68/x
  3. Step 3: Cross multiply
    289.50x = 434.02 × 150.68
  4. Step 4: Simplify right side
    289.50x = 65,398.13
  5. Step 5: Solve for x
    x = 65,398.13/289.50
  6. Step 6: Final answer
    x = 225.90

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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.