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Finding the Fourth Proportional to 435.39, 653.04 and 161.42

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Solution

The fourth proportional to 435.39, 653.04 and 161.42 is: 242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.39 : 653.04 = 161.42 : x
  2. Step 2: Convert to fraction form
    435.39/653.04 = 161.42/x
  3. Step 3: Cross multiply
    435.39x = 653.04 × 161.42
  4. Step 4: Simplify right side
    435.39x = 105,410.45
  5. Step 5: Solve for x
    x = 105,410.45/435.39
  6. Step 6: Final answer
    x = 242.11

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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.