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Finding the Fourth Proportional to 434.62, 650.85 and 271.82

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Solution

The fourth proportional to 434.62, 650.85 and 271.82 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.62 : 650.85 = 271.82 : x
  2. Step 2: Convert to fraction form
    434.62/650.85 = 271.82/x
  3. Step 3: Cross multiply
    434.62x = 650.85 × 271.82
  4. Step 4: Simplify right side
    434.62x = 176,914.05
  5. Step 5: Solve for x
    x = 176,914.05/434.62
  6. Step 6: Final answer
    x = 407.05

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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.