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Finding the Fourth Proportional to 245.03, 366.46 and 142.04

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Solution

The fourth proportional to 245.03, 366.46 and 142.04 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.03 : 366.46 = 142.04 : x
  2. Step 2: Convert to fraction form
    245.03/366.46 = 142.04/x
  3. Step 3: Cross multiply
    245.03x = 366.46 × 142.04
  4. Step 4: Simplify right side
    245.03x = 52,052.54
  5. Step 5: Solve for x
    x = 52,052.54/245.03
  6. Step 6: Final answer
    x = 212.44

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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.