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Finding the Fourth Proportional to 237.68, 356.41 and 140.21

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Solution

The fourth proportional to 237.68, 356.41 and 140.21 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 356.41 = 140.21 : x
  2. Step 2: Convert to fraction form
    237.68/356.41 = 140.21/x
  3. Step 3: Cross multiply
    237.68x = 356.41 × 140.21
  4. Step 4: Simplify right side
    237.68x = 49,970.11
  5. Step 5: Solve for x
    x = 49,970.11/237.68
  6. Step 6: Final answer
    x = 210.24

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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.