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Finding the Fourth Proportional to 435.42, 650.39 and 363.06

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Solution

The fourth proportional to 435.42, 650.39 and 363.06 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.42 : 650.39 = 363.06 : x
  2. Step 2: Convert to fraction form
    435.42/650.39 = 363.06/x
  3. Step 3: Cross multiply
    435.42x = 650.39 × 363.06
  4. Step 4: Simplify right side
    435.42x = 236,128.78
  5. Step 5: Solve for x
    x = 236,128.78/435.42
  6. Step 6: Final answer
    x = 542.30

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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.