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Finding the Fourth Proportional to 435.07, 652.43 and 142.49

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Solution

The fourth proportional to 435.07, 652.43 and 142.49 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.07 : 652.43 = 142.49 : x
  2. Step 2: Convert to fraction form
    435.07/652.43 = 142.49/x
  3. Step 3: Cross multiply
    435.07x = 652.43 × 142.49
  4. Step 4: Simplify right side
    435.07x = 92,964.75
  5. Step 5: Solve for x
    x = 92,964.75/435.07
  6. Step 6: Final answer
    x = 213.68

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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.