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Finding the Fourth Proportional to 245.06, 367.75 and 142.40

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Solution

The fourth proportional to 245.06, 367.75 and 142.40 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.06 : 367.75 = 142.40 : x
  2. Step 2: Convert to fraction form
    245.06/367.75 = 142.40/x
  3. Step 3: Cross multiply
    245.06x = 367.75 × 142.40
  4. Step 4: Simplify right side
    245.06x = 52,365.41
  5. Step 5: Solve for x
    x = 52,365.41/245.06
  6. Step 6: Final answer
    x = 213.68

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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.