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Finding the Fourth Proportional to 237.92, 357.08 and 140.51

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Solution

The fourth proportional to 237.92, 357.08 and 140.51 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.92 : 357.08 = 140.51 : x
  2. Step 2: Convert to fraction form
    237.92/357.08 = 140.51/x
  3. Step 3: Cross multiply
    237.92x = 357.08 × 140.51
  4. Step 4: Simplify right side
    237.92x = 50,173.50
  5. Step 5: Solve for x
    x = 50,173.50/237.92
  6. Step 6: Final answer
    x = 210.89

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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.