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Finding the Fourth Proportional to 212.38, 292.91 and 146.03

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Solution

The fourth proportional to 212.38, 292.91 and 146.03 is: 201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.38 : 292.91 = 146.03 : x
  2. Step 2: Convert to fraction form
    212.38/292.91 = 146.03/x
  3. Step 3: Cross multiply
    212.38x = 292.91 × 146.03
  4. Step 4: Simplify right side
    212.38x = 42,771.45
  5. Step 5: Solve for x
    x = 42,771.45/212.38
  6. Step 6: Final answer
    x = 201.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.