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Finding the Fourth Proportional to 245.01, 367.17 and 142.32

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Solution

The fourth proportional to 245.01, 367.17 and 142.32 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.01 : 367.17 = 142.32 : x
  2. Step 2: Convert to fraction form
    245.01/367.17 = 142.32/x
  3. Step 3: Cross multiply
    245.01x = 367.17 × 142.32
  4. Step 4: Simplify right side
    245.01x = 52,253.72
  5. Step 5: Solve for x
    x = 52,253.72/245.01
  6. Step 6: Final answer
    x = 213.28

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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.