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Finding the Fourth Proportional to 435.81, 650.85 and 349.28

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Solution

The fourth proportional to 435.81, 650.85 and 349.28 is: 521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.81 : 650.85 = 349.28 : x
  2. Step 2: Convert to fraction form
    435.81/650.85 = 349.28/x
  3. Step 3: Cross multiply
    435.81x = 650.85 × 349.28
  4. Step 4: Simplify right side
    435.81x = 227,325.63
  5. Step 5: Solve for x
    x = 227,325.63/435.81
  6. Step 6: Final answer
    x = 521.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.