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Finding the Fourth Proportional to 435.43, 652.46 and 272.77

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Solution

The fourth proportional to 435.43, 652.46 and 272.77 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.43 : 652.46 = 272.77 : x
  2. Step 2: Convert to fraction form
    435.43/652.46 = 272.77/x
  3. Step 3: Cross multiply
    435.43x = 652.46 × 272.77
  4. Step 4: Simplify right side
    435.43x = 177,968.52
  5. Step 5: Solve for x
    x = 177,968.52/435.43
  6. Step 6: Final answer
    x = 408.72

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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.